Question 1

A random sample of car buyers was asked to respond to a survey about what was the most important quality of the car they purchased. If one car buyer is randomly chosen from the group, what is the probability that the buyer is female and chose 'fuel efficiency' as their most important factor for the purchase?

Accepted Answer

$$0.141$$

Question 2

Suppose that a recent poll of American households about pet ownership found that for households with one pet, $$39\%$$ owned a dog, $$35\%$$ owned a cat, and $$7\%$$ owned a bird. What is the probability that all three randomly selected households own a cat? (Round to the nearest hundredth)

Accepted Answer

$$0.04$$

Question 3

A random sample of 150 adults was asked to respond to a survey about whether they use their cell phones to shop for a specific item. If one adult is randomly chosen from the group, what is the probability that the adult is 60 years or older?

Accepted Answer

$$0.60$$

Question 4

The National Center for Health Statistics has found that there is a $$0.41\%$$ chance that an American citizen will die from falling. What is the probability that you will not die from a fall? (Round to the nearest hundredth of a percent)

Accepted Answer

$$99.59\%$$

Question 5

You are dealt one card from a standard 52-card deck. Find the probability of being dealt an ace or a 9.

Accepted Answer

$$\frac{2}{13}$$

Question 6

If one car buyer is randomly chosen from the group, what is the probability that the buyer is female and chose 'manufacturer reputation' as their most important factor for the purchase?

Accepted Answer

$$0.130$$

Question 7

Suppose that a recent poll of American households about pet ownership found that for households with one pet, $$39\%$$ owned a dog, $$35\%$$ owned a cat, and $$7\%$$ owned a bird. What is the probability that at least one randomly selected household owns a cat?

Accepted Answer

$$0.97$$

Question 8

If one adult is randomly chosen from the group, what is the probability that the adult uses a cell phone app for shopping and is under 60 years of age?

Accepted Answer

$$0.40$$

Question 9

If one car buyer is randomly chosen from the group, what is the probability that the buyer is female and chose 'fuel efficiency' or 'other' as their most important factor for the purchase?

Accepted Answer

$$0.312$$

Question 10

If one adult is randomly chosen from the group, what is the probability that the adult uses a cell phone app for shopping or is 60 years or older?

Accepted Answer

$$0.80$$

Question 11

If one car buyer is randomly chosen from the group, what is the probability that the buyer chose a car based on 'looks' as their most important factor for the purchase?

Accepted Answer

$$0.180$$

Question 12

A die is rolled. The set of equally likely outcomes is $$1, 2, 3, 4, 5, 6. $$Find the probability of getting a 5.

Accepted Answer

$$\frac{1}{6}$$

Question 13

Which of the following are mutually exclusive events in the cell phone app usage study?

Accepted Answer

None of these choices.

Question 14

Is the following an example of theoretical probability or empirical probability? A homeowner notes that five out of seven days his mail delivery is late. He concludes that the probability that the mail delivery will be late is about $$0.71.$$

Accepted Answer

Empirical

Question 15

If one adult is randomly chosen from the group, what is the probability that the adult is over 40 years old given that the adult does not use a cell phone app?

Accepted Answer

$$0.70$$

Question 16

If one car buyer is randomly chosen from the group, what is the probability that the buyer chose 'price' as their most important factor for the purchase and is female?

Accepted Answer

$$0.310$$

Question 17

Use your intuition to decide whether the following two events are likely to be independent or associated. Event A: A randomly selected registered voter’s party affiliation is Republican. Event B: A randomly selected registered voter’s spouse is a Republican.

Accepted Answer

Associated

Question 18

If one car buyer is randomly chosen from the group, what is the probability that the buyer is male and chose 'manufacturer reputation' as their most important factor for the purchase?

Accepted Answer

$$0.100$$

Question 19

If one adult is randomly chosen from the group, what is the probability that the adult uses a cell phone app for shopping and is 60 years or older?

Accepted Answer

$$0.10$$

Probability and Data Analysis: Study Notes for Introductory Statistics

Study Guide - Practice Questions

Study Guide - Flashcards