A group of 125 pick up truck owners were asked what brand truck they owned and whether it had four-wheel drive. The results are given in the two-way table. You randomly select one truck owner. Which one of the following is true about the events "Owner has a Chevy" and "Owner's truck has four-wheel drive"?

These two events are not mutually exclusive, but they are independent.

These two events are mutually exclusive and independent.

These two events are mutually exclusive, but not independent.

These two events are neither mutually exclusive nor independent.

AP Stats: Chapters 5 & 6 Review

Quiz

•

Mathematics

•

10th Grade - University

•

Practice Problem

•

Hard

•

CCSS

HSS.CP.A.1, HSS.CP.A.3, HSS.CP.B.8

+11

Standards-aligned

Used 62+ times

FREE Resource

About this resource

This quiz covers probability theory and statistical distributions, representing core concepts typically taught in Advanced Placement Statistics courses at the 11th or 12th grade level. The questions systematically assess students' understanding of fundamental probability rules, including the requirements for valid probability distributions, independence of events, and conditional probability calculations. Students must demonstrate mastery of discrete probability distributions by computing expected values and standard deviations, while also applying properties of combining random variables. The quiz progresses from basic probability concepts through more sophisticated applications including two-way tables for conditional probability, normal distribution calculations requiring z-score transformations, binomial probability computations, and geometric distribution problems. Students need strong algebraic skills to manipulate probability formulas, conceptual understanding of when events are independent versus mutually exclusive, and the ability to recognize and apply different probability distributions based on the context of real-world scenarios. This quiz was created by a classroom teacher who designed it for students studying Advanced Placement Statistics. The assessment serves multiple instructional purposes, functioning effectively as a comprehensive review before unit exams, formative assessment to identify areas needing reinforcement, or homework practice to solidify understanding of probability concepts. Teachers can use this quiz to gauge student readiness for AP exam-style problems, as the multiple-choice format and mathematical rigor mirror the College Board's assessment structure. The problems align with Common Core State Standards for Statistics and Probability (S-CP.A.1 through S-CP.A.5, S-MD.A.1 through S-MD.A.4) and AP Statistics curriculum requirements for probability distributions and their applications. The sequential nature of related questions allows teachers to identify specific misconceptions in probability reasoning, making it particularly valuable for targeted remediation and differentiated instruction in advanced mathematics courses.

AP Stats: Chapters 5 & 6 Review

16 questions

A randomly selected student is asked to respond, yes, no, or maybe to the question "Do you intend to vote in the next presidential election?" The sample space is {Yes, No, Maybe}. Which of the following represents a legitimate assignment of probabilities for this sample space?

You play tennis regular with a friend, and from past experience, you believe that the outcome of each match is independent. For any given match you have a probability of 0.6 of winning. The probability that you win the next two matches is

There are 10 red marbles and 8 green marbles in a jar. If you take three marbles from the jar (without replacement), the probability that they are all red is:

A group of 125 pick up truck owners were asked what brand truck they owned and whether it had four-wheel drive. The results are given in the two-way table.
You randomly select one truck owner. What is the probability that he owns a Chevy, given that he has four wheel drive?

A group of 125 pick up truck owners were asked what brand truck they owned and whether it had four-wheel drive. The results are given in the two-way table.
If you randomly selected one truck owner. What is the probability that he owns a Dodge or has a four wheel drive?

A small store keeps track of the number X of customers that make a purchase during the first hour that the store is open each day. Based on the records, X has the following probability distribution.
The mean number of customers that make a purchase during the first hour that the store is open is:

The weight of written reports produced in a certain department has a Normal distribution with mean 60 g and standard deviation 12 g. The probability that the next report will weigh less than 45 g is

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics

AP Stats: Chapters 5 & 6 Review

16 questions

A randomly selected student is asked to respond, yes, no, or maybe to the question "Do you intend to vote in the next presidential election?" The sample space is {Yes, No, Maybe}. Which of the following represents a legitimate assignment of probabilities for this sample space?

You play tennis regular with a friend, and from past experience, you believe that the outcome of each match is independent. For any given match you have a probability of 0.6 of winning. The probability that you win the next two matches is

There are 10 red marbles and 8 green marbles in a jar. If you take three marbles from the jar (without replacement), the probability that they are all red is:

A group of 125 pick up truck owners were asked what brand truck they owned and whether it had four-wheel drive. The results are given in the two-way table.You randomly select one truck owner. What is the probability that he owns a Chevy, given that he has four wheel drive?

A group of 125 pick up truck owners were asked what brand truck they owned and whether it had four-wheel drive. The results are given in the two-way table.If you randomly selected one truck owner. What is the probability that he owns a Dodge or has a four wheel drive?

A small store keeps track of the number X of customers that make a purchase during the first hour that the store is open each day. Based on the records, X has the following probability distribution.The mean number of customers that make a purchase during the first hour that the store is open is:

The weight of written reports produced in a certain department has a Normal distribution with mean 60 g and standard deviation 12 g. The probability that the next report will weigh less than 45 g is

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics

A group of 125 pick up truck owners were asked what brand truck they owned and whether it had four-wheel drive. The results are given in the two-way table.
You randomly select one truck owner. What is the probability that he owns a Chevy, given that he has four wheel drive?

A group of 125 pick up truck owners were asked what brand truck they owned and whether it had four-wheel drive. The results are given in the two-way table.
If you randomly selected one truck owner. What is the probability that he owns a Dodge or has a four wheel drive?

A small store keeps track of the number X of customers that make a purchase during the first hour that the store is open each day. Based on the records, X has the following probability distribution.
The mean number of customers that make a purchase during the first hour that the store is open is: