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Final Test Reviewer

Total questions: 87

Worksheet time: 3hrs 24mins

Name
Class
Date
1.
Given the probability model in the table below, what is the expected value of the random variable?
  X        50          20        5
P(X)     0.1         0.3      0.6
a)
14
b)
4.67
c)
5
d)
7.5
2.

Find the mean (expected value) of the probability distribution.

a)

85

b)

83.2

c)

87.1

d)

84.4

3.

Determine which of the following distribution is NOT a probability distribution. (Remember that a valid probability distribution must add up to 1)

a)

A

b)

B

c)

C

d)

D

4.

Is this a probability distribution?

a)

No, the sum of p(x) does not equal 1.

b)

Yes, all p(x) are between 0 and 1.

c)

No, all p(x) are not between 0 and 1.

d)

Yes, the sum p(x) is 1.

5.

The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the mean. Round to the nearest hundredth.

a)

31.8

b)

15.68

c)

0.20

d)

1.00

6.

The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the standard deviation. Round to the nearest hundredth.

a)

35.76

b)

268.1

c)

16.3

d)

1279.35

7.

Identify whether the experiment involves a discrete or a continuous random variable.


Rotating a spinner that has 4 equally divided parts: blue, green, yellow, and red

a)

Discrete Random Variable

b)

Continuous Random Variable

8.

Identify whether the experiment involves a discrete or a continuous random variable.


Collecting data about the mileage per liter of a certain brand and model of a car

a)

Discrete Random Variable

b)

Continuous Random Variable

9.

Identify whether the experiment involves a discrete or a continuous random variable.


Tallying the number of times a student has been late during the 1st term

a)

Discrete Random Variable

b)

Continuous Random Variable

10.

The number of people in your class.

a)

discrete

b)

continuous

11.

Which of the following table represents a probability distribution?

a)

b)

c)

d)

12.

State whether it is Discrete or Continuous;

A film critic's rating of a film, 0 to 4 stars

a)

Discrete

b)

Continuous

13.

State whether it is Discrete or Continuous;

The speed of a car

a)

Discrete

b)

Continuous

14.

State whether it is Discrete or Continuous;

The sum rolled on a pair of dice

a)

Discrete

b)

Continuous

15.

State whether it is Discrete or Continuous;

The winning ticket number drawn from a raffle

a)

Discrete

b)

Continuous

16.

State whether it is Discrete or Continuous;

The weight of parcels at a post office

a)

Discrete

b)

Continuous

17.

State whether it is Discrete or Continuous;

The size of jeans in a shop

a)

Discrete

b)

Continuous

18.

State whether it is Discrete or Continuous;

The temperature of metal as it cools

a)

Discrete

b)

Continuous

19.

State whether it is Discrete or Continuous;

the amount of water in different types of fruit drink

a)

Discrete

b)

Continuous

20.

State whether it is Discrete or Continuous;

The number of cars passing the school over a 10 - minute period

a)

Discrete

b)

Continuous

21.

State whether it is Discrete or Continuous;

The number of cities in each country in Europe

a)

Discrete

b)

Continuous

22.

State whether it is Discrete or Continuous;

The number of heads when tossing a coin 50 times

a)

Discrete

b)

Continuous

23.

State whether it is Discrete or Continuous;

The number of correct questions in a 10 - question test

a)

Discrete

b)

Continuous

24.
A stockbroker estimates that at the end of the year, there is a 40% chance a stock will be worth $50, a 35% chance it will be worth $60 and a 25% chance it will be worth $70.
What expected value does this broker assign to this stock's end-of-the-year price?
a)
$58.50
b)
$60.00
c)
$62.50
d)
$65.00
25.

Is this a probability distribution?

a)

No

b)

Yes

26.
Is this a probability distribution?
a)
No
b)
Yes
27.
When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice five times, hoping to roll doubles. What is the probability the player gets doubles less than three times in 5 attempts?
a)
0.161
b)
0.965
c)
0.015
d)
0.997
28.
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.
29.

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

30.

The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the mean. Round to the nearest hundredth.

a)

31.80

b)

15.68

c)

0.20

d)

1.00

31.

The table above shows the number of cell phones per household in a small town. Find the standard deviation. Round to the nearest hundredth.

a)

0.80

b)

1.70

c)

1.30

d)

1.00

32.

The table above shows the number of cell phones per household in a small town. Find the mean round to the nearest hundredth.

a)

2.80

b)

2.93

c)

0.10

d)

0.14

33.
a)
Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
b)
No, all probabilities are not be between 0 and 1 inclusive
c)
No, the sum of all the probabilities is not 1.
d)
Yes, because the distribution is symmetric
34.
a)
Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
b)
No, all probabilities are not be between 0 and 1 inclusive
c)
No, the sum of all the probabilities is not 1.
d)
Yes, because the distribution is symmetric
35.
a)
Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
b)
No, all probabilities are not be between 0 and 1 inclusive
c)
No, the sum of all the probabilities is not 1.
d)
Yes, because the distribution is symmetric
36.
A marketing survey compiled data on the number of cars in households.  If X = the number of cars in a randomly selected household, and we omit the rare cases of more than 5 cars, then X has the following probability distribution: 
X           0          1          2          3           4           5    
P(X)   0.24    0.37    0.20    0.11    0.05     0.03
What is the probability that a randomly chosen household has at least two cars?
a)
0.20
b)
0.29
c)
0.39
d)
0.61
37.
The table represents the probability of guessing correct on a 5 question true-false quiz.  Find the probability for at least 4 questions correct.
a)
.03125
b)
.15625
c)
.3125
d)
.1875
38.

The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the mean. Round to the nearest hundredth.

a)

31.80

b)

15.68

c)

0.20

d)

1.00

39.

The table above shows the number of cell phones per household in a small town. Find the mean round to the nearest hundredth.

a)

2.80

b)

2.93

c)

0.10

d)

0.14

40.

Eva flips a coin. If she gets heads, she wins $4. If she gets tails, she loses $3. What is her expected value of a coin flip?

a)

$1

b)

$0.50

c)

-$0.50

d)

$0

41.
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
42.

Find the z-scores value corresponding if the location is above the mean by 1/2 standard deviations

a)

-0.50

b)

+1.00

c)

+0.50

d)

-1.00

43.

Find the z-score value corresponding if the location is below the mean by 2 standard deviations

a)

+2.00

b)

-2.00

c)

+1.25

d)

-1.00

44.

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

a)

z=x−μz=x-\mu

b)

z=σ−μxz=\frac{\sigma-\mu}{x}

c)

z=σnz=\frac{\sigma}{\sqrt{n}}

d)

z=x−μσz=\frac{x-\mu}{\sigma}

45.

Find the z-score value corresponding if the location is below the mean by 2 standard deviations

a)

+2.00

b)

-2.00

c)

+1.25

d)

-1.00

46.

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

a)

1

b)

2

c)

3

d)

4

47.

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

48.
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
49.
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
50.
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
51.
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
52.
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
53.
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
54.

Which of the following graphs shows a normal curve?

a)
b)
c)
d)
55.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
56.
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
57.
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
58.
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
59.
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
60.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
61.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
62.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)

32%

c)
95%
d)
50%
63.

Find the area of the shaded region

a)

0.8686

b)

0.9332

c)

0.0645

d)

0.1314

64.

The standard normal distribution is also called normal curve.

a)

TRUE

b)

FALSE

65.

Area under a normal curve is 100.

a)

TRUE

b)

FALSE

66.

The area under the standard normal curve is 1.

a)

TRUE

b)

FALSE

67.

Almost all the areas under the curve is between z = -2 and z = 2.

a)

TRUE

b)

FALSE

68.

The standard normal curve extends indefinitely in both directions.

a)

TRUE

b)

FALSE

69.

The standard normal curve is asymmetric about its center.

a)

TRUE

b)

FALSE

70.

The area of a specific region under the curve cannot be found in the Table of Areas under the Normal Curve.

a)

TRUE

b)

FALSE

71.

Almost all areas under the curve is between z = -3 and z = 3.

a)

TRUE

b)

FALSE

72.

The area of z score of 1.05 is equal to 0.3531.

a)

TRUE

b)

FALSE

73.

The z score of 0.1 is equal to the area of 0.3413.

a)

TRUE

b)

FALSE

74.

Find the area of z = 0.70

(a)  

75.

Find the area of z = -0.96

(a)  

76.

Find the area of z = 1.06

(a)  

77.

Find the area of z = -0.58

(a)  

78.

Find the area of z = 1.23

(a)  

79.

Find the area of z = -2.32

(a)  

80.

Find the area of z = 2.17

(a)  

81.

Find the area of z = -2.19

(a)  

82.

Find the area of z = 2.05

(a)  

83.

Find the area of z = 2.5

(a)  

84.

What is the standard deviation of the probability?

a)

1.00

b)

0.87

c)

1.12

d)

0.71

85.
Probability can be between what two numbers?
a)
10 and 20
b)
0 and 100
c)
0 and 1
d)
All Numbers are possible
86.

What is the variance of the probability distribution?

a)

0.75

b)

1.00

c)

1.25

d)

0.50

87.

The distribution of weekly incomes follows the normal probability distribution, with a mean of $1,000 and a standard deviation of $100. What is the sign of the z value corresponding to an income of $1,200?

a)

negative

b)

positive

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