Free AP Statistics Tests

AP Statistics Practice Tests

Unit 1 Practice Test
Unit 2 Practice Test
Unit 3 Practice Test
Unit 4 Practice Test
Unit 5 Practice Test
Unit 6 Practice Test
Unit 7 Practice Test
Unit 8 Practice Test
Unit 9 Practice Test

AP Statistics Unit 4 Practice Test: Probability, Random Variables, & Probability Distributions

Below is our free AP Statistics unit 4 practice test. These questions focus on some very important background for statistics — probability. Simulation appears as a way to envision what might occur in a real-world situation if a certain assumption were true. The ideas of events and sets and union and intersection of sets are discussed , as well as expected value and standard deviation of random variables and functions of random variables.

Next: AP Statistics Practice Test 5

Previous Next

Number of slices	Probability
1	0.450
2	0.405
3	0.130
4	0.010
5	0.005

Free AP Statistics Tests

AP Statistics Practice Tests

AP Statistics Unit 4 Practice Test: Probability, Random Variables, & Probability Distributions

Quiz Summary

Information

Results

Results

Categories

1. Question

A teacher rolls a die many times. The die is fair but the teacher doesn’t know it. The teacher wants to see how often a six is rolled. Using as many trials as are possible in the random number table below, what is the estimated probability of rolling a six?

3 8 5 4 8 3 2 2 0 1 9 5 8 6 2 5 5 5 6 1 9 3 5 0 5 3 1 5 9 7 4 0 9 2 2 8 4 9 2 2

2. Question

Examina el texto para poder contestar las preguntas 1-5.

CES 2026: los robots ahora pueden bailar mejor que un humano y algunos lucen como Terminator

¿Cuál fue la característica que más llamó la atención del humanoide G1 en la edición actual del CES?

3. Question

A student enters a drawing at a basketball game. There are 6 jerseys, 2 basketballs, and 20 free ticket packs. If 250 people enter the drawing, what is the probability the student will not win any prize?

4. Question

Which of the following are mutually exclusive events?

5. Question

In a certain middle school, 28% of students play soccer and basketball, and 40% of students play basketball. What is the probability that a student plays soccer, given that the student plays basketball?

6. Question

A student surveys students in a school to determine the rate of food allergies. The student finds that, out of a sample of 200 students, 5 have a peanut allergy, 2 have a tree nut allergy, 1 has a shellfish allergy, and 4 have an egg allergy.

Assuming each of these events are independent of the others is the probability that a student has either a peanut or tree nut allergy?

7. Question

A researcher surveyed 200 adults. Based on the results, the probability of a person taking a given number of pizza slices is displayed in the table below.

Number of slices

Probability

1

0.450

2

0.405

3

0.130

4

0.010

5

0.005

Based on this data, what is the average number of slices taken by a single individual?

8. Question

At a craft fair, the average purchase amount is \$30 with a standard deviation of \$2. In addition, there is 7% sales tax plus a \$5 charge to get in to the fair. Which of the following statements are true?

9. Question

A student rolls a die 36 times, with a success defined as rolling a 5 or 6. What are the mean and standard deviation for the distribution of the number of successes?

10. Question

An automated dialer is dialing random numbers until it reaches a valid number. The mean for this situation is 12 and the standard deviation is approximately 11.5. Which statement is true?

11. Question

What is the probability that B will equal 30?

Next: AP Statistics Practice Test 5