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Worksheets

Final Review

Total questions: 198

Worksheet time: 7hrs 40mins

Name
Class
Date
1.

Possible results in a probability situation are called . . .

a)

outcomes

b)

trials

c)

likelihoods

d)

favorable answers

2.

In order to figure out who will go first in a game, your friend asks you to pick a number between 1 and 5. What are the possible outcomes?

a)

1

b)

1,2,3,4,5

c)

5

3.

A bag is filled with 4 red marbles, 3 blue marbles, 3 yellow marbles, and 2 green marbles. You randomly want to choose a red marble from the bag. What are the favorable outcomes?

a)

red

b)

red, blue, yellow, green

c)

4

d)

red,red,red,red

4.

A bag is filled with 4 red marbles, 3 blue marbles, 3 yellow marbles, and 2 green marbles. You randomly want to choose a marble that is not blue from the bag. What are the favorable outcomes?

a)

blue, blue, blue

b)

9

c)

red,red,red,red,yellow,yellow, yellow,green,green

d)

3

5.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
6.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
7.

Use the spinner to determine the theoretical probability of the event.

a)

P (purple) = 1/3

b)

P (purple) =1/4

c)

P (purple) =1/5

d)

P (purple) =1/6

8.
What is the Theoretical Probability of not landing on red?
a)
25%
b)
50%
c)
65%
d)
66.7%
9.

Bella spun a spinner with three sections. Using her results, find the likelihood that Bella lands on a red or yellow on her next spin.

a)

4/5

b)

2/5

c)

3/5

10.
Dustin has a spinner that is divided into
5 equal-size sections colored red, blue, orange, white, and green. What is the probability that Dustin spins pink on the next spin?
a)
0
b)
0.25
c)
0.5
d)
0.75
11.
Emma is playing a spinning game using the spinner shown. She gets one spin and needs green to win. What's probability that she will NOT win?
a)
.25
b)
.75
c)
.70
d)
40
12.
A classroom has 28 students. 11 of these students are boys. If a student is randomly chosen, what's the probability that the student will be a girl? Round
a)
about 57%
b)
about 61%
c)
about 39%
d)
about 40%
13.
True or False: If you spin this spinner once, landing on one and landing on 2 have the same probability. 
a)
True:  There are 3 spaces for you to land on each of those numbers 
b)
False:  The space of 2 on the spinner is greater than the space for 1. 
14.
Probability can be written as a 
a)
fraction
b)
decimal
c)
percent
d)
all of the above
15.

Neil tossed a 6-sided die 90 times. The results of his tosses are recorded in the table below: Which number has the experimental probability of 13/90?

a)

1

b)

2

c)

3

d)

4

e)

5

16.

The table shows the results of 50 rolls of a number cube. According to the data in the table, what was the experimental probability of rolling a 1?

a)
b)
c)
d)
17.

According to the table, what color had an experimental probability closest to its theoretical probability?

a)

Red

b)

Blue

c)

Orange

d)

Yellow

18.
You flip a coin 20 times and record the results. Is this experimental or theoretical probability?
a)
Experimental
b)
Theoretical
19.
a)
.2855
b)
.6246
c)
.0922
d)
.3230
20.
What is the probability that a student does not play on a sports team? 
a)
.5
b)
.45
c)
.55
21.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
22.
What is the probability that a female is chose given they like a Toyota? 
a)
.525
b)
.4627
c)
.6774
d)
.3143
23.
Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 
a)
27/40
b)
1.48
c)
.008
d)
.0593
24.
What is the probability that they speak French given they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
25.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
26.

. What is the probability that a student has a brother given that they do not have a sister?

*Write your answer as a fraction*

(a)  

27.

P(A∣B)=

a)

P(A⋂B)/P(A)

b)

P(A⋂B)/P(B)

c)

P(A⋃B)/P(A)

d)

P(A⋃B)/P(B)

28.
What is P(not sport | Foreign language)?
a)
23/37
b)
14/23
c)
14/37
d)
3/23
29.

What is P(Ace given hearts)?

*convert your fraction to a percentage*

a)

1.9%

b)

7.7%

c)

25%

d)

6.3%

30.

Barry Bonds has a career batting average of .298. What is the probability that he will get on base 6 times in 10 at bats?

a)

3.58%

b)

5.46%

c)

22.67%

d)

100%

31.

If you were to flip a coin 20 times, what is the probability you would get exactly 10 heads?

a)

50%

b)

17.62%

c)

58.81%

d)

41.19%

32.
4. When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice four times, hoping to roll doubles. Find the probability that the player gets doubles twice in 4 attempts.
a)
88.4%
b)
11.6%
c)
98.4%
d)
1.6%
33.
Which of the following is NOT an assumption of the Binomial distribution?
a)
All trials must be independent.
b)
Each trial must be classified as a success or a failure.
c)
All trials are dependent on each other.
d)
The number of successes in the trials is counted.
34.

When rolling a fair die 100 times, what is the probability of rolling a "4" exactly 25 times?

a)

1.0%

b)

16.7%

c)

25%

d)

2.1%

35.
If you were to flip a coin 20 times, what is the probability you would get at least 13 heads?
a)
94.23%
b)
13.16%
c)
5.77%
d)
7.39%
36.

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct? (You need to figure out the p value first. It is not given to you.)

a)

96.2%

b)

13.2%

c)

8.31%

d)

25.0

37.

A quarterback has a passing percentage of 70%. What is the probability that he  completes 12 of his 20 passes?

a)

11.44%

b)

12.45%

c)

54%

d)

12.34%

38.
A coin is tossed ten times.  What is the probability that there are exactly 6 heads?
a)
20.51%
b)
90%
c)
45.68%
d)
34.65%
39.

Let n = 20, q = .6, Find the probability of 12 successes.

a)

3.55%

b)

35.55%

c)

24%

d)

12.90%

40.

What does the n stand for in the binomial probability formula?

a)

Number of trials

b)

Number of Successes

c)

Probability of Successes

d)

Probability of Failures

41.

What does the x stand for in the binomial probability formula?

a)

Number of trials

b)

Number of Successes

c)

Probability of Successes

d)

Probability of Failures

42.

What does the p stand for in the binomial probability formula?

a)

Number of trials

b)

Number of Successes

c)

Probability of Successes

d)

Probability of Failures

43.

What does the q stand for in the binomial probability formula?

a)

Number of trials

b)

Number of Successes

c)

Probability of Successes

d)

Probability of Failures

44.

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let x = the card you observe.

a)

Yes

b)

No, the trials are not independent.

c)

No, there are more than 2 outcomes.

45.

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let x = the number of aces you observe.

a)

Yes

b)

No, the trials are not independent.

c)

No, there are more than 2 outcomes.

46.

A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 5 people have their pets bathed professionally.

a)

14.36%

b)

1.03%

c)

7.2%

d)

19.8%

47.
An algebra 2 test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get at least 1 question correct?
a)
0.2373
b)
0.3955
c)
0.7627
d)
0.6045
48.

Which descriptions are true for a binomial distribution? Select all that apply.

a)

The probability of success must be the same for each event.

b)

The probability for each event must be 0.5.

c)

There can be only two possible outcomes - success and failure.

d)

The probabilities must add to 1.

e)

Each trial must be independent.

49.

Which of the following could be examples of binomial probabilities? (Select all that apply.)

a)

P(success) = 0.99, P(failure) = 0.01

b)

P(A) = 0.4, P(B) = 0.4

c)

P(A )= 1/3, P(B) = 1/3, P(C) = 1/3

d)

P(3) = 1/6, P(not 3) = 5/6

50.
Is the distribution below a probability distribution? Why or why not?
a)
Yes. All P(x) values are between 0 and 1, and ∑P(x) = 1
b)
No, not all P(x) values are between 0 and 1.
c)
No, ∑P(x) ≠ 1.
51.
Which one of these variables is a continuous random variable?
a)
The time it takes a randomly selected student to complete an exam.
b)
The number of tattoos a randomly selected person has.
c)
The number of women taller than 68 inches in a random sample of 5 women. 
d)
The number of correct guesses on a multiple choice test. 
52.

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

a)

0.962

b)

0.132

c)

0.831

d)

0.250

53.
It has been estimated that about 30% of frozen chicken contain enough salmonella bacteria to cause illness if improperly cooked. A consumer purchases 12 frozen chickens. What is the probability that the consumer will have more than 6 contaminated chickens? 
a)
.961
b)
.118
c)
.882
d)
.039
54.
If you were to flip a coin 20 times, what is the probability you would get at least 13 heads?
a)
.9423
b)
.1316
c)
.0577
d)
.0739
55.
What does the p stand for in the binomial probability formula?
a)
Number of trials
b)
Number of Successes
c)
Probability of Successes
d)
Probability of Failures
56.

What does the p stand for in the binomial probability formula  nCk(p)k(q)(n−k)\ _nC_k\left(p\right)^k\left(q\right)^{\left(n-k\right)} ?

a)
Number of trials
b)
Number of Successes
c)
Probability of Successes
d)
Probability of Failures
57.

What does the k stand for in the binomial probability formula  nCk(p)k(q)(n−k)\ _nC_k\left(p\right)^k\left(q\right)^{\left(n-k\right)} ?

a)

Number of trials

b)

Number of Successes

c)

Probability of Successes

d)

Probability of Failures

58.

What does the n stand for in the binomial probability formula  nCk(p)k(q)(n−k)\ _nC_k\left(p\right)^k\left(q\right)^{\left(n-k\right)}  ?

a)
Number of trials
b)
Number of Successes
c)
Probability of Successes
d)
Probability of Failures
59.
Which one of these variables is a binomial random variable?
a)
Time it takes a randomly selected student to complete a multiple choice exam
b)
Number of textbooks a randomly selected student bought this term 
c)
Number of women taller than 68 inches in a random sample of 5 women
d)
Number of CDs a randomly selected person owns
60.
Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let X = the number of aces you observe.
a)
Yes
b)
No, the trials are not independent.
c)
No, there are more than 2 outcomes
61.

Binomial or Not Binomial?


Rolling a dice ten times and recording how many threes are rolled

a)

Binomial

b)

Not Binomial

62.

Choose the correct sign

'probability at least 7'

a)

P(X>7)

b)

P(X<7)

c)

P(X≥7)

d)

P(X≤7)

63.

Choose the correct sign

'probability less than 7'

a)

P(X>7)

b)

P(X<7)

c)

P(X≥7)

d)

P(X≤7)

64.

The American Red Cross says that about 30% of the U.S. population has Type A+ blood. A blood drive is being held at your school. What is the probability that at least 5 of the first 20 blood donors has Type A+ blood? 

a)

.7625

b)
0.697
c)
0.214
d)
0.303 
65.

Find the mean of a binomial distribution with n=50 and p=0.4

a)

50

b)

4

c)

20

d)

10

66.
Bob is taking a 100 question test.  They have a 90 % probability of getting any one question correct.  WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 70  questions correctly?
a)
100C70   ( 0.18  )30 ( 0.90  )70
b)
100C70   ( 0.10  )30 ( 0.90  )60
c)
100C70   ( 0.10  )30 ( 0.90  )70
d)
99C70   ( 0.10  )30 ( 0.90  )70
67.
4. When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice four times, hoping to roll doubles. What is the probability the player gets doubles more than twice in 4 attempts?
a)
0.016
b)
0.00077
c)
0.132
d)
0.004
68.

Find the standard deviation of a binomial distribution with n=50 and p=0.4 (Round to the nearest tenth)

a)

4.2

b)

3.5

c)

12.0

d)

6.2

69.

30% of all dogs in a city are micro-chipped. In a sample of 50 dogs, what is the probability that less than 12 of dogs are micro-chipped? Select the closest option.

a)

0.2586

b)

0.1587

c)

0.8233

d)

0.14

e)

0

70.

If you were to flip a coin 20 times, what is the probability you would get at most 12 heads?

a)
94.23%
b)
13.16%
c)
5.77%
d)

86.8%

71.

Find the mean of a binomial distribution with n=50 and p=0.6

a)

50

b)

30

c)

20

d)

10

72.

Find the standard deviation of a binomial distribution with n=50 and p=0.6(Round to the nearest tenth)

a)

4.2

b)

3.5

c)

12.0

d)

6.2

73.

Barry Bonds has a career batting average of .298. What is the probability that he will get on base 7 times in 10 at bats?

a)

3.58%

b)

5.46%

c)

22.67%

d)

0.87%

74.

If you were to flip a coin 30 times, what is the probability you would get exactly 10 heads?

a)

50%

b)

17.62%

c)

2.8%

d)

41.19%

75.

4. When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice f1ve times, hoping to roll doubles. Find the probability that the player gets doubles twice in 5 attempts.

a)
88.4%
b)
11.6%
c)

16.12%

d)
1.6%
76.

Which of the following are assumptions of the Binomial distribution? Choose all that apply.

a)
All trials must be independent.
b)
Each trial must be classified as a success or a failure.
c)
All trials are dependent on each other.
d)
The number of successes in the trials is counted.
77.

When rolling a fair die 80 times, what is the probability of rolling a "4" exactly 20 times?

a)

1.0%

b)

1.74%

c)

25%

d)

2.1%

78.

A quarterback has a passing percentage of 70%. What is the probability that he  completes 20 of his 30 passes?

a)

11.44%

b)

12.45%

c)

54%

d)

14.26%

79.

The American Red Cross says that about 34% of the U.S. population has Type O+ blood. A blood drive is being held at your school. What is the probability that at least 5 of the first 20 blood donors has Type A+ blood? 

a)

.7625

b)

0.8626

c)
0.214
d)
0.303 
80.

Find the mean of a binomial distribution with n=60 and p=0.6

a)

36

b)

30

c)

20

d)

10

81.

If you were to flip a coin 30 times, what is the probability you would get at least 16 heads?

a)

.4278

b)

.1354

c)

.0577

d)

.0739

82.

A quarterback has a passing percentage of 60%. What is the probability that he  completes 20 of his 30 passes?

a)

11.52%

b)

12.45%

c)

54%

d)

14.26%

83.

If you were to flip a coin 30 times, what is the probability you would get exactly 14 heads?

a)

50%

b)

17.62%

c)

2.8%

d)

13.54%

84.

Choose the correct sign

'probability at most 7'

a)

P(X>7)

b)

P(X<7)

c)

P(X≥7)

d)

P(X≤7)

85.

Choose the correct sign

'probability less than 7'

a)

P(X>7)

b)

P(X<7)

c)

P(X≥7)

d)

P(X≤7)

86.

An algebra 2 test has 10 multiple choice questions with four choices with one correct answer each. If you just randomly guess on each of the 10 questions, what is the probability that you get at least 6 questions correct?

a)

0.962

b)

0.132

c)

0.02

d)

0.250

87.

A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 50 pet owners are randomly selected, find the probability that exactly 12 people have their pets bathed professionally.

a)

14.36%

b)

1.03%

c)

12.94%

d)

19.8%

88.

A quarterback has a passing percentage of 65%. What is the probability that he  completes 20 of his 30 passes?

a)

11.52%

b)

12.45%

c)

54%

d)

15%

89.

30% of all dogs in a city are micro-chipped. In a sample of 10dogs, what is the probability that less than 5of dogs are micro-chipped? Select the closest option.

a)

0.2586

b)

0.1587

c)

0.8497

d)

0.1398

90.

Where can we locate the mean in the normal curve?

a)

to the left portion

b)

to the right portion

c)

at the center

d)

on the z - axis

91.

What is the total area under the normal curve in a standard normal distribution?

a)

1

b)

2

c)

3

d)

4

92.
A z-score tells you...
a)
the standard deviation of a sampling distribution.
b)
the original raw score on which it is based.
c)
if the distribution it comes from is normal.
d)
how many standard deviations away from the mean a score lies.
93.
Find the area under the standard normal curve to the right of z = -2.67.
a)
0.0869
b)
0.9962
c)
0.0008
d)
0.1234
94.
Find the area under the normal distribution curve to the left of 
Z=0.27.
a)
0.3936
b)
0.3897
c)
0.6064
d)
0.4892
95.
Find the area under the normal distribution curve between 
z=-1.53 and z=0.
a)
0.437
b)
0.563
c)
0.500
d)
0.063
96.
Find the area under the standard normal curve to the right of z = -2.67.
a)
0.0869
b)
0.9962
c)
0.0008
d)
0.1234
97.
Find the area under the normal distribution curve between a z=-1.26 and z=.57. 
a)
0.0047
b)
0.9204
c)
0.6119
d)
0.4981
98.
Adam's Z-score on a test is +2.5.  What does this mean?
a)
He'd better start studying.
b)
He did better than EVERYONE.
c)
He scored 2.5 standard deviations above the average.
d)
He did terrible.
99.
If Gonzalo's score is 87, the class average is 82, and the SD is 4, what is Gonzalo's Z-score?
a)
-1.25
b)
+1.25
c)
+1.20
d)
+1.02
100.
The normal curve is symmetrical about the mean.
a)
True
b)
False
101.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
102.
A z-score tells you...
a)
the standard deviation of a sampling distribution.
b)
the original raw score on which it is based.
c)
if the distribution it comes from is normal.
d)
how many standard deviations away from the mean a score lies.
103.
Find the area of the shaded region if the z-score is 1.25
a)
0.1056
b)
0.8944
c)
0.8849
d)
0.1151
104.
Find the area of the shaded region if the z-score is 0.75
a)
0.2266
b)
0.7734
c)
0.758
d)
0.242
105.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
106.
Between what two standard deviations of a normal distribution contain 68% of the data?
a)
one below and one above
b)
two below and two above
c)
two below and zero
d)
zero and two above
107.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last 6 days or less?
a)
68%
b)
34%
c)
16%
d)
2.5%
108.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
109.
Between what two standard deviations of a normal distribution contain 68% of the data?
a)
one below and one above
b)
two below and two above
c)
two below and zero
d)
zero and two above
110.
The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches. What percent of men are between 64 and 66.5 inches tall? 
a)
50%
b)
2.5%
c)
13.5%
d)
34%
111.
The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches. Between what heights do the middle 95% of men fall? 
a)
66.5-71.5
b)
64-74
c)
61.5-76.5
d)
65-73
112.

Given a mean of 75 and a standard deviation of 7, what percentage of scores are between 75 and 82?

a)

68%

b)

81.5%

c)

16%

d)

34%

113.

The average weight of a newborn is 7.5 pounds, with a standard deviation of 1.25 pounds. Birth weight follows the standard normal curve. What percent of newborns weigh 5 pounds or less at birth?

a)

2.35%

b)

0.15%

c)

2.5%

d)

50%

114.

What is the formula to find the corresponding z-score for population data?

a)

z = X - μ / σ

b)

z = (X - μ) / σ

c)

z = μ - X / σ

d)

z = (μ - X) / σ

115.

Which of the following is NOT TRUE?

a)

The mean, median, and the mode are equal.

b)

The curve is asymptotic to the base line.

c)

The total area under the curve is less than 1.

d)

The curve is symmetrical about its center.

116.

Find the z-score for 48 given a mean of 50 and a standard deviation of 5.

a)

2.5

b)

-2.5

c)

-0.4

d)

0.4

117.

Students pass a test if they score 50% or more.


The marks of a large number of students were sampled and the mean and standard deviation were calculated as 42% and 8% respectively.


Assuming this data is normally distributed, what percentage of students pass the test? in percentage...

a)

5

b)

16

c)

24

d)

32

118.

A test has a mean of 40 and a standard deviation of 10. What is the percent of people that scored between 30 and 40?

a)

68%

b)

34%

c)

13.6%

d)

100%

119.

Find the z-score for 75 given a mean of 60 and a standard deviation of 6.

a)

-2.5

b)

2.5

c)

-1.15

d)

1.15

120.
What is the shape of the distribution?
a)
Skewed Left 
b)
Skewed Right
c)
Symmetric
d)
Bimodal
121.

A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50. What percentage ratings can be expected to be between 200 and 275?

a)

43.31%

b)

56.71%

c)

38.61%

d)

29.87%

122.

The lengths of human pregnancies can be described by a Normal model with a mean of 268 days and a standard deviation of 15 days. What percentage of pregnancies will last at least 300 days?

a)

1.64%

b)

98.36%

c)

12.34%

d)

56.19%

123.

A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what values should border the middle 50% of the model?

a)

44 and 52 inches

b)

42 and 54 inches

c)

40 and 50 inches

d)

40 and 60 inches

124.

For a recent English exam, the mean was 73 points and the standard deviation was 9.2 points. Find the percent of scores over 85.

a)

9.61%

b)

90.39%

c)

28.51%

d)

75.31%

125.

Determine Pr(23 < X < 27) given µ = 24, σ = 3

a)

4.37%

b)

63.06%

c)

47.19

d)

47.19%

126.

In a recent Maths test, the average was 45 with a standard deviation of 4 . If the distribution of results was normal, what percentage of students scored more than 50? (Answer to 2 decimal places.)

(a)  

127.

The average height of NBA basketball players is 79 inches with a standard deviation of 1.75 inches. Approximately what percent of the players are taller than 82 inches?

a)

about 4% to 5%

b)

about 2% to 3%

c)

about 6% to 7%

d)

about 6.5%c to 7.5%

128.

The distribution of SAT scores of all college-bound seniors taking the SAT in 2014 was approximately normal with mean of 1497

and standard deviation of 322. Calculate the z-score of a student earning a score of 1980.


.

a)

2

b)

1.5

c)

1.75

d)

2.25

129.
According to the empirical rule, what percentage of data falls within 1 standard deviation? 
a)
25%
b)
68%
c)
95%
d)
99.7%
130.
The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have less than 5 accidents?
a)
0.6915
b)
0.1762
c)
0.8238
d)
-0.93
131.

Use the following information and the Empirical Rule to estimate the answer.


The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.


There are 500 golf members at the Mathy Country Club. How many are younger than 34?

a)

16

b)

80

c)

100

d)

150

132.
What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?
a)
26-32
b)
3-29
c)
26-29
d)
39-32
133.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
 28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
134.
At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?
a)
68%
b)
99.7%
c)
95%
d)
84%
135.

In a Memorial Day 5K race the mean time that it takes the runners to complete the course is 48 minutes with a standard deviation of 6 minutes. Find the probability that a runner finished between 36 and 54 minutes.

a)

81.86%

b)

88.6 %

c)

11.4%

d)

84.62%

136.

In a Memorial Day 5K race the mean time that it takes the 54 runners to complete the course is 48 minutes with a standard deviation of 6 minutes. Find the approximate number of the 54 runners that finish less than 30 minutes.

a)

7

b)

1

c)

2

d)

5

137.

In a Memorial Day 5K race the mean time that it takes the 54 runners to complete the course is 48 minutes with a standard deviation of 6 minutes. Find approximate number of runners to finish in more than 54 minutes

a)

9

b)

7

c)

5

d)

3

138.

The times needed to check out at a local grocery store are normally distributed with a mean of 110 seconds and a standard deviation of 20 seconds.

About what percent of shoppers check out between 90 seconds and 130 seconds.

a)

68%

b)

95%

c)

97.5%

d)

65%

139.

The times needed to check out at a local grocery store are normally distributed with a mean of 110 seconds and a standard deviation of 20 seconds.

About what percent of shoppers check out over 2 minutes?

a)

31%

b)

41%

c)

21%

d)

50%

140.

In a large group of earthworms collected for study, the lengths of earthworms are normally distributed with a mean of 8.4 centimeters and a standard deviation of 1.6 centimeters. What percent of earthworms are expected to be longer than 10 centimeters

a)

16%

b)

5%

c)

2.35%

d)

64%

141.

In a large group of earthworms collected for study, the lengths of earthworms are normally distributed with a mean of 8.4 centimeters and a standard deviation of 1.6 centimeters. What percent of earthworms are at most 8 centimeters?

a)

40.1%

b)

50%

c)

2.3.5%

d)

64%

142.

In a large group of earthworms collected for study, the lengths of earthworms are normally distributed with a mean of 8.4 centimeters and a standard deviation of 1.6 centimeters. What percent of earthworms are between 6 and 9 centimeters?

a)

40.1%

b)

50.94%

c)

57.94%

d)

64%

143.

For a recent English exam, the mean was 73 points and the standard deviation was 9.2 points. Find the percent of scores over 85.

a)

9.61%

b)

90.39%

c)

28.51%

d)

75.31%

144.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
145.
Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 
a)
27/40
b)
1.48
c)
.008
d)
.0593
146.
What is the probability that they speak French given they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
147.
What is the probability that a female is chose given they like a Toyota? 
a)
.525
b)
.4627
c)
.6774
d)
.3143
148.
The probability that a women likes the color blue is 10%. The probability of being a women is 40%. What is the probability that the a women is chose given they liked the color blue? 
a)
4
b)
.4
c)
.1
d)
.25
149.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
150.

Pr(A∣B)

a)

Pr(A∩B)/Pr(B)

b)

Pr(A∩B)/P(A)

151.

Pr(B∣A)=

a)

Pr(B⋂A)/Pr(B)

b)

Pr(B⋂A)/Pr(A)

152.
What is the probability of choosing a Honda? 
a)
.5970
b)
.5373
c)
.4627
d)
.4030
153.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
154.

If you flip a coin two times, is it independent or dependent probability?

a)

Independent

b)

Dependent

155.

If you draw out a red marble, keep it, then draw out a blue marble, is it independent or dependent probability?

a)

Independent

b)

Dependent

156.

What is the probability of flipping a coin twice and landing on tails both times? (leave answer in fraction form in lowest terms)

a)

1/2

b)

2/2

c)

4/1

d)

1/4

157.

If you flip a coin then roll a number cube, is it independent or dependent probability?

a)

Independent

b)

Dependent

158.

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble? (leave answer in fraction form in lowest terms)

a)

9/49

b)

16/49

c)

12/42

d)

12/49

159.

What is the probability of picking a green marble, keeping it, then picking another green marble? (leave answer in fraction form in lowest terms)

a)

9/49

b)

1/7

c)

3/14

d)

6/42

160.

What is the P(blue)?

(leave answer in fraction form in lowest terms)

a)

1/3

b)

1/6

c)

1/2

d)

2/6

161.

If you spin two times, what is the probability of landing on green both times? (leave answer in fraction form in lowest terms)

a)

1/6

b)

1/9

c)

1/36

d)

1/30

162.

What is the probability of picking a green marble, keeping it, then picking green again? (leave answer in fraction form in lowest terms)

a)

1/7

b)

1

c)

1/49

d)

0

163.

What is the probability of picking a red marble and keeping it, picking another red marble and keeping it, then picking a blue marble? (leave answer in fraction form in lowest terms)

a)

2/105

b)

4/343

c)

2/63

d)

4/210

164.

Sarah has two spinners. Spinner A has six equal sections and spinner B has eight equal sections. Sarah will spin the two spinners at the same time. What is the probability that both spinners will land on a color that is not red? (leave answer in fraction form in lowest terms)

a)

1/6

b)

4/7

c)

1/3

d)

2/6

165.
a)
.2855
b)
.6246
c)
.0922
d)
.3230
166.
What is the probability that they speak French given they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
167.
What statement does the shaded region represent?
a)
A or B
b)
A and B
c)
A
d)
B
168.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
169.

What is the probability of Occurrence of 'King ',when a card is drawn from a pack of 52 cards.

a)

1/13

b)

1/14

c)

1/15

d)

1/16

170.

The probability of an event 'A'is occurring when it is known that the event 'B' has occurred is called.........

a)

conditional probability of the event 'A'

b)

conditional probability of the event 'B'

c)

None of these

171.

Conditional probability of the event 'A'given that 'B' has occurred is denoted by

a)

P(A|B)

b)

P(B|A)

c)

P(AB)

d)

P(BA)

172.

P(A∪B)=P(A) +P(B)−P(A∩B)P\left(A\cup B\right)=P\left(A\right)\ +P\left(B\right)-P\left(A\cap B\right)  is 

a)

Addition theorem on probability

b)

Multiplication theorem on probability

c)

Conditional theorem on probability

d)

None of these

173.

The occurrence or non-occurrence of an event 'A' is effected on the occurrence or non-occurrence of another event 'B' ,then the events A,B are independent events.

a)

True

b)

False

174.

The formula for the conditional probability of the event 'A' ,given that the event 'B' has occurred is 

a)

P(A|B) =  P(A∩B)P(B)\frac{P\left(A\cap B\right)}{P\left(B\right)}   

b)

P(B|A) =  P(A∩B)P(B)\frac{P\left(A\cap B\right)}{P\left(B\right)}  

c)

P(A|B) =  P(A∩B)P(A)\frac{P\left(A\cap B\right)}{P\left(A\right)}  

d)

None of these

175.

If A,B are independent events ,then P(A|B) =

a)

P(A)

b)

P(B)

c)

P(A∩B)P\left(A\cap B\right)

d)

P(A∪B)P\left(A\cup B\right)

176.

Interview every 10th student who enters the school in the morning.

a)

simple random

b)

voluntary response

c)

systematic

d)

convenience

177.

At a border crossing, every 20th car is automatically selected to be inspected.

a)

systematic

b)

simple random sample

c)

convenience

d)

Self - selected (volunteer)

178.

Political webpages often allow readers to rate (if they want to) whether they strongly agree, agree, disagree, or strongly disagree with the President's decision on any given situation. This is a form of:

a)

Volunteer Response

b)

Convenience Sampling

c)

Simple Random Sampling

d)

Systematic Random Sampling

179.

Marianne wanted to know students' opinion on the new schedule at school. She survey's the first 15 students who come into her class.

a)

Convenience Sampling

b)

Systematic Random Sampling

c)

Simple Random Sampling

d)

Volunteer response

180.

A teacher splits her classes up by period. She then randomly picks 3 students from each period to do a survey.

a)

Stratified.

b)

Systematic

c)

Cluster

d)

Biased.

181.

A teacher wants to know how well her students are doing on a topic. She randomly picks one of her classes to survey, then surveys everyone..

a)

Simple Random

b)

Cluster

c)

Stratified

d)

Systematic

182.
A ___ is a small portion of the population used to gather data from.
a)
Systematic Sampling Method
b)
Sample
c)
Population
d)
Bias
183.
A ___ is a large group that includes everything being studied.
a)
Sample
b)
Stratified Sampling Method
c)
Population
d)
Voluntary-Response
184.

An independent research company wants to go door to door to survey people in the city of Fontana. The company decides to number all blocks within the city limit, randomly choose 1 block and survey all households on that block.

This is an example of:

a)

Simple Random Sample

b)

Stratified Random Sample

c)

Cluster Random Sample

d)

Systematic Random Sampling

185.

A teacher wants to know the average time spent doing homework by the students in her class of 20 girls and 5 boys.

She picks the student in every 5th seat.

a)

Simple Random

b)

Systematic

c)

voluntary response

d)

convenience

186.

A teacher wants to know the average time spent doing homework by the students in her class of 20 girls and 5 boys.

She selects the five closest to her desk.

a)

simple random

b)

Self Selected.

c)

Convenience

d)

Systematic Random

187.

A teacher wants to know the average time spent doing homework by the students in her class of 20 girls and 5 boys.

She selects the first five who raise their hands.

a)

Systematic

b)

Convenience

c)

Volunteer Response

d)

Simple Random

188.
Disneyland often surveys its guests as they exit a restaurant during their visit. The surveyor stands at the restaurant exit, counts the number of people leaving, and surveys every 25th guest.
This is a form of:
a)
Simple Random Sample
b)
Stratified Random Sample
c)
Voluntary Response
d)
Systematic Random Sampling
189.
Assign each car in a dealership a number and then use a random-number table to select the cars to be inspected. 
a)
systematic
b)
random sample
c)
convenience
d)
volunteer response
190.
Marianne wanted to know students' opinion on the new schedule at school. She places all students' names in a container and picks out 20 to survey. 
a)
Convenience Sampling
b)
Systematic Sampling
c)
Random Sampling
d)
Volunteer response
191.
Why do we randomly select our samples?
a)
to increase bias
b)
to reduce bias
c)
so we don't get the same answers from everyone
d)
because it's easier
192.
Leslie wants to find out what show students watch the most.  She surveyed the 9 youngest students in the elementary school.  Is this sample of the students in the school likely to be representative?
a)
yes
b)
no
c)
Mr. Shinn, I have no idea!
193.

Elise, a supermarket employee, approached 50 random customers and asked whether they would be willing to discuss what they like most about the store. She interviewed the 22 who said yes. Is this sample of the supermarket's customers likely to be biased?

a)

yes

b)

no

194.
Political webpages often allow readers to rate whether they strongly agree, agree, disagree, or strongly disagree with the President's decision on any given situation. This is a form of:
a)
Voluntary Response
b)
Convenience Sampling
c)
Simple Random Sampling
d)
Systematic Random Sampling
195.
To randomly select 25 basketball players from the 300 players in the NBA, I would: 
a)
Number the players from 01-25, read 3 digits at a time from a random table, discarding repeats and numbers over 25, and then stop when I reach 25.
b)
Number the players from 0-299, read 2 digits at a time from a random table, discarding repeats and numbers over 299, and stop when I reach 25.
c)
Number the players from 01-299, read 2 digits at a time from a random table, discarding repeats and numbers over 300, and stop when I reach 25.
d)
Number the players from 001-300, read 3 digits at a time from a random table, discarding repeats, 000 and numbers over 300, and stop when I reach 25.
196.

The following numbers appear in a table of random digits:

38683 50279 38224 09844 13578 28251 12708 24684

Mrs. Singleton will be measuring the total amount of leaf litter in a random sample (n = 5) of forest sites selected without replacement from a population of 45 sites. The sites are labeled 01, 02, . . . , 45 and she starts at the beginning of the line of random digits and takes consecutive pairs of digits. Which of the following is correct?

a)

Her sample is 38, 25, 02, 38, and 22.

b)

Her sample is 38, 35, 27, 28, and 08.

c)

Her sample is 38, 65, 35, 02, and 79.

d)

Her sample is 38, 35, 02, 22, and 40.

197.

We wish to draw a sample of 5 without replacement from a population of 50 households. Suppose the households are numbered 01, 02, . . . , 50, and suppose that the relevant line of the random number table is

11362 35692 96237 90842 46843 62719 64049 17823

The sample you obtain is

a)

households 11, 13, 36, 62, and 73.

b)

households 11, 36, 23, 08, and 42.

c)

households 11, 36, 23, 23, and 08.

d)

households 11, 36, 23, 56, and 92.

198.

We wish to choose a simple random sample of size three from the following list of employees of a small company. To do this, we will use the numerical labels attached to the names below.

1. Bechhofer, 2. Brown, 3. Ito, 4. Kesten, 5. Kiefer,

6. Spitzer , 7. Taylor, 8. Wald, and 9. Weiss

We will also use the following list of random digits, reading the list from left to right, starting at the beginning of the list.

11793 20495 05907 11384 44982 20751 27498 12009 45287 71753 98236 66419 84533

The sample you obtain is

a)

Brown, Taylor, and Weiss.

b)

Bechhofer, Taylor, and Weiss.

c)

Kesten, Kiefer, and Taylor.

d)

Taylor, Weiss, and Ito.

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