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Unit 6 Probability Distributions Quiz

Total questions: 30

Worksheet time: 1hrs 1mins

Name
Class
Date
1.
Probability can be expressed as a number between_____ and _____.
a)
0 and 100
b)
0 and 10
c)
0 and 1
d)
-1 and 1
2.

Determine the probability of the following even occuring: You flip a fair coin and the coin will land heads up.

a)

0

b)

1/4

c)

1/2

d)

1

3.

What is the probability of spinning the fair 8-sided spinner and landing on the 7?

a)

impossible - 0 / 8

b)

1 / 2

c)

1 / 8

d)

7 / 8

4.

What is the probability of rolling a fair 6-sided die and having it land on an odd number?

a)

3/4

b)

1/3

c)

1/2

d)

2/5

5.

What is the probability of rolling a sum of 15 with a pair of six-sided dice?

a)

0

b)

1 / 36

c)

15 / 36

d)

5 / 36

6.
The probability of it raining today is 30%.  What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%
7.

Is this a probability distribution?

a)

No

b)

Yes

8.

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

9.

Using the probability distribution, find P(X > 1).

a)

18\frac{1}{8}

b)

14\frac{1}{4}

c)

38\frac{3}{8}

d)

12\frac{1}{2}

10.
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
11.

Which of the following is NOT a condition 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.

12.

A discrete random variable X has the probability distributions shown in the table. Find the value of k.

a)

1/3

b)

7/12

c)

1/12

d)

1/4

13.

Determine which of the following distribution is NOT a probability distribution.

a)

A

b)

B

c)

C

d)

D

14.

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.

15.
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
16.

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

a)

85

b)

83.2

c)

87.1

d)

84.4

17.
Choose an American household at random. What is the expected number of cars for that household?
a)
1.75
b)
1.84
c)
2.00
d)
2.50
18.
A car dealer buys hybrids for $21,000 each and sells them for $24,500 each. Find his expected weekly profit.
a)
$2,380
b)
$5,355
c)
$8,109
d)
$37,485
19.
According to the empirical rule, what percentage of data falls within 1 standard deviation? 
a)
25%
b)
68%
c)
95%
d)
99.7%
20.
According to the empirical rule, how much of the data falls within 3 standard deviations? 
a)
25%
b)
68%
c)
95%
d)
99.7%
21.

The ages of the population of people living in Meru area in Ipoh are Normally distributed with mean 43 and standard deviation 14


The town has a population of 5,000.

How many would you expect to be aged between 22 and 57?


You can use this Standard Normal Distribution curve:

a)

1750

b)

3860

c)

3870

d)

4330

22.

The mean July daily rainfall in Hulu Kinta is 10 mm and the standard deviation is 1.5 mm


Assume that this data is normally distributed.

How many days in July would you expect the daily rainfall to be less than 8.5 mm?

a)

5

b)

6

c)

7

d)

10

23.

If you had to guess the probability of the gray area, which would you choose?

a)

0.2

b)

0.4

c)

0.6

d)

0.8

24.

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

a)

100

b)

25

c)

.5

d)

1

25.

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

a)

2.26

b)

16.45

c)

-2.26

d)

1.26

26.

Find the z-score.

Mean: 29.8

Standard Deviation: 7

x = 20

a)

-1.4

b)

10.2

c)

-21

d)

35

27.

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

a)

z=X-M

b)

z=σ-M/μ

c)

z/M=μ

d)

z=X-μ/σ

28.

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

a)

2.26

b)

16.45

c)

-2.26

d)

1.26

29.

1) What will be the miles per gallon for a Toyota Camry when the average mpg is 23, it has a z value of 1.5 and a standard deviation of 2?

a)

25

b)

20

c)

26

d)

68

30.
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)
3.42
b)
1.03
c)
0.072
d)
0.199

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