1. Which of the following is the best example of a continuous random variable?

The number of cups of coffee sold in the cafeteria during lunch.

The number of coffee filters the cafeteria uses in one month.

The time it takes to brew one twelve cup pot of coffee.

The customers who entered the cafeteria in one month.

2. Which of the following is an example of a discrete random variable?

The height of a player on the basketball team.

The jersey number on a basketball player's uniform.

The time remaining in the game when the first foul is called.

The weight of a player on a basketball team.

3. In which table is P(x) NOT a probability distribution?

x	p(x)
1	0.2
2	0.2
3	0.2
4	0.2
5	0.2

x	p(x)
1	-0.3
2	0.5
3	0.1
4	0.3
5	0.4

x	p(x)
1	0.49
2	0.05
3	0.32
4	0.07
5	0.07

x	p(x)
1	0.13
2	0.21
3	0.35
4	0.09
5	0.22

Question at position 4

According to government data, the probability that a woman between the ages of 25 and 29 was never married is 40%. In a random survey of 10 women in this age group, what is the probability that two or fewer were never married?

0.046

0.121

0.167

0.833

Question at position 5

The probability that an individual is left-handed is 0.11. In a class of 40 students, what is the probability of finding five left-handers?

0.179

0.726

0.069

0.442

Question at position 6

The random variable x represents the number of tests that a patient entering the hospital will have along with the corresponding probabilities. What is the expected number of tests that a patient entering the hospital will have?

x	0	1	2	3	4
p(x)	0.18	0.29	0.35	0.12	0.06

mean: 3.73

mean: 2.5

mean: 2

mean: 1.59

Question at position 7

The random variable x represents the number of cars per household in a town of 1000 households. What is the probability of randomly selecting a household that has at least one car? (Hint: you will need to come up with some probabilities)

Cars	0	1	2	3	4
Households	125	428	256	108	83

0.083

0.500

0.875

0.125

Question at position 8

You observe the gender of babies born at a local hospital. The random variable represents the number of girls. Which of the following binomial conditions are not met?

There are a fixed number of trials.

There are only two possible outcomes.

The probability of a success is the same for each trial.

Each trial is independent.

Question at position 9

A recent survey found that 70% of all adults over 50 wear glasses for driving. In a random sample of 10 adults over 50, what is the probability that at least six wear glasses?

0.850

0.350

0.150

0.650

Question at position 10

A company ships computer components in boxes that contain 20 items. Assume that the probability of a defective computer component is 0.2. What is the probability that the first defect is found in the seventh component tested?

0.0545

0.0524

0.9679

0.7903

Question at position 11

Decide which probability distribution applies to the question. You do not need to calculate the answer. The probability that a federal income tax return is filled out incorrectly with an error in favor of the taxpayer is 20%. What is the probability that of the ten tax returns randomly selected for an audit in a given week, three returns will contain errors favoring the taxpayer?

geometric

binomial

none of the above

Question at position 12

Twenty-six percent of people in the United States with internet access go online to get news. A random sample of five Americans with internet access is selected and asked if they get the news online. Let the random variable X = the number of people who go online to get news.

1. Determine whether X follows a binomial or geometric distribution. Justify your answer by verifying the appropriate conditions.
2. What is the probability that at most two accidents are caused by the failure to yield the right of way?

Question at position 13

Select the hallmarks of a geometric distribution. Select all that apply.

Set number of trials/sample size.

Probability is the same for each trial.

There are two outcomes.

The random sample x represents the number of successes.

The random sample x represents the number trials until the first success.

Question at position 14

Decide which probability distribution applies to the question. You do not need to calculate the answer. The probability that a federal income tax return is filled out incorrectly with an error in favor of the taxpayer is 20%. What is the probability that the first returnwith errors favoring the taxpayer is found before the fifth return is audited?

geometric

binomial

none of the above