Quiz about Probability Distributions and Expected Value

Question 1

Classify: The numbers of cheeseburgers a fast-food restaurant serves each day

Accepted Answer

Discrete

Answer

None of these

Answer

Abstract

Answer

Continuous

Question 2

Question 2.

Accepted Answer

Discrete

Answer

Continuous

Question 3

Question 3.

Accepted Answer

Continuous

Answer

Discrete

Question 4

Question 4.

Accepted Answer

Discrete

Answer

Continuous

Question 5

Question 5.

Accepted Answer

0.05

Answer

0

Answer

0.1

Answer

0.5

Question 6

Question 6.

Accepted Answer

No, all probabilities are not be between 0 and 1 inclusive

Answer

Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.

Answer

No, the sum of all the probabilities is not 1.

Answer

Yes, because the distribution is symmetric

Question 7

Question 7.

Accepted Answer

Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.

Answer

No, all probabilities are not be between 0 and 1 inclusive

Answer

No, the sum of all the probabilities is not 1.

Answer

Yes, because the distribution is symmetric

Question 8

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?

Accepted Answer

0.39

Answer

0.20

Answer

0.29

Answer

0.61

Question 9

The table represents the probability of guessing correct on a 5 question true-false quiz.  Find the probability for at least 4 questions correct.

Accepted Answer

.1875

Answer

.03125

Answer

.15625

Answer

.3125

Question 10

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.

Accepted Answer

31.80

Answer

15.68

Answer

0.20

Answer

1.00

Question 11

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

Accepted Answer

2.80

Answer

2.93

Answer

0.10

Answer

0.14

Question 12

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?

Accepted Answer

$58.50

Answer

$60.00

Answer

$62.50

Answer

$65.00

Question 13

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?

Accepted Answer

$0.50

Answer

$1

Answer

-$0.50

Answer

$0

Question 14

In a certain community, 30% of households have 1 child, 43% have 2 children, and 27% have 3 children. If a household is selected at random, what is the expected number of children in that household? HINT: A Probability table may be helpful.

Accepted Answer

1.97

Answer

2.00

Answer

2.13

Answer

1.27

Question 15

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

Accepted Answer

Discrete Random Variable

Answer

Continuous Random Variable

Question 16

Find the mean of the random variable X.

Accepted Answer

2

Answer

6

Answer

1

Answer

4

Question 17

Find the standard deviation of the random variable X.

Accepted Answer

3

Answer

2

Answer

7

Answer

9

Question 18

Find the missing value that makes the following a valid probability distribution.

Accepted Answer

0.19

Answer

1

Answer

-0.8

Answer

0.4

Question 19

The following table presents a probability distribution for the number of pets each family has in a certain neighborhood. Find the probability that a randomly selected family has 1 or 2 pets.

Accepted Answer

0.4

Answer

0.2

Answer

0.1

Answer

0.5

Question 20

What does this symbol represent?

Accepted Answer

population standard deviation

Answer

population mean

Answer

parameter standard error

Answer

proportion standard deviation

Question 21

What does this symbol represent?

Accepted Answer

population mean

Answer

sample mean

Answer

population standard deviation

Answer

sample mew

Question 22

6.2:  Standard Normal Distribution (mean is 0 standard deviation is 1).  For a randomly selected subject, find the probability of a score between 1.37 and 2.42.

Accepted Answer

0.078

Answer

0.785

Answer

0.223

Answer

0.023

Question 23

Adult men have a mean height of 70 inches, with a standard deviation of 4 inches.

What is the probability of an adult male being under 62 inches tall?

Accepted Answer

2.5%

Answer

95%

Answer

17%

Answer

5%

Question 24

Adult men have a mean height of 70 inches, with a standard deviation of 4 inches.

What is the probability of an adult male being over 74 inches tall?

Accepted Answer

17%

Answer

50%

Answer

83%

Answer

33%

Question 25

Adult men have a mean height of 70 inches, with a standard deviation of 4 inches.

What is the probability of an adult male being over 70 inches tall?

Accepted Answer

50%

Answer

17%

Answer

83%

Answer

33%

Probability Distributions and Expected Value

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