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Unit 4

4.13 Multiple Choice Questions

3 min read•december 11, 2021

AP Statistics 📊

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Multiple Choice Practice for Probability, Random Variables, and Probability Distributions

Welcome to Unit 4 AP Statistics Multiple Choice Questions! Grab some paper and a pencil 📄 to record your answers as you go. You can see how you did on the Unit 4 Practice Questions Answers and Review sheet once you're done. Don't worry, we have tons of resources available if you get stumped 😕 on a question. And if solo study is not your thing, join a group in Hours! Not ready to take a quiz yet? Check out the Intro to Unit 4.

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Facts about the test: The AP Statistics exam has 40 multiple choice questions and you will be given 1 hour 30 minutes to complete the section. That means it should take you around 11 minutes to complete 5 questions.

*The following questions were not written by College Board and although they cover information outlined in the AP Statistics Course and Exam Description the formatting on the exam may be different.

1. Which of the following is the set of all possible outcomes of a given event?

A. Frequency Chart

B. Simulation Chart

C. Sample Space

D. Tree Diagram

2. Which of the following two events represents two events that are mutually exclusive?

A. December in FL and hurricane

B. January in CA and snow

C. November in NY and rain

D. July in AL and snow

3. If there are 6 items in a hat: 4 marbles (2 red and 2 blue) and 2 coins (1 red and 1 blue). What is the probability of drawing a marble or blue?

A. 5/6

B. 4/6

C. 1/6

D. 3/6

4. Which of the following events are independent of each other?

A. Month of year and rain

B. Day of week and rain

C. Month of year and snow

D. Temperature and snow

5. Which of the following is not one of the classifications for a binomial distribution?

A. Independence

B. Clear success and failure

C. Normal Distribution

D. All trials equally likely of success

6. If a given random variable X has a mean of 3.2, what would the mean of random variable Y be if Y=X+5?

A. 3.5

B. 5.2

C. 3.2

D. 8.2

7. If a given random variable X has a standard of 0.7, what would the mean of random variable Y be if Y=5X?

A. 0.7

B. 3.5

C. 1.2

D. 5

8. A random variable is decided to follow a geometric distribution with a p=0.4. Find the mean of the geometric variable.

A. 0.4

B. 40

C. 4

D. 2.5

9. Joseph is going to flip a coin until he gets a heads. What type of distribution would this describe?

A. Geometric

B. Binomial

C. Normal

D. Uniform

10. You are playing a game where you roll the dice, you win $5 if you get a 1 or a 6, $2 if you roll a 3 or -$2 if you roll a 2 or a 4. What is the expected value?

A. $10

B. $2

C. $1.33

D. $0

11. Which of the following statements is always false?

A. P(A)=P(B) if A and B are independent

B. P(A)>P(B) if P(A) is independent.

C. P(A)=1.5

D. P(A)=0.5 and P(B)=0.5, then A and B are mutually exclusive

12. If there are 6 red marbles and 12 blue marbles in a jar, what is the probability of drawing 3 red marbles (without replacement) from the jar in a row?

A. 0.043

B. 0.5

C. 0.33

D. 0.43

13. Let X be the outcome of a regular dice. Find P(2<X<5).

A. 1

B. 0.5

C. 0.66

D. 0.33

14. Which of the following are not associated with the normal distribution density curve?

A. Symmetric

B. Bell Shaped