AP Stats: Chapters 5 & 6 Review
Mathematics
10th Grade - University
CCSS covered
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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.
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16 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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?
Tags
CCSS.HSS.CP.A.1
CCSS.HSS.CP.B.7
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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
Tags
CCSS.HSS.CP.A.3
CCSS.HSS.CP.B.8
CCSS.HSS.CP.A.2
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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:
Tags
CCSS.HSS.CP.B.8
CCSS.HSS.CP.B.9
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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?
Tags
CCSS.HSS.CP.A.1
CCSS.HSS.CP.A.3
CCSS.HSS.CP.A.4
CCSS.HSS.CP.B.6
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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?
Tags
CCSS.HSS.CP.A.1
CCSS.HSS.CP.B.7
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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"?
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
In a particular game, a fair die is tossed. If the number of spots showing is either 4 or 5 you win $1, if the number of spots showing is 6 you win $4, and if the number of spots showing is 1, 2, or 3 you win nothing. Let X be the amount that you win.
Which of the following is the expected value of X?
Tags
CCSS.HSS.MD.A.2
CCSS.HSS.MD.A.3
CCSS.HSS.MD.B.5
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