QUIZ CHAPTER 5.1-5.3 AP-STATISTICS
Authored by Yolanda Salabarria
Mathematics
11th - 12th Grade
CCSS covered
Used 107+ times
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This AP Statistics quiz covers fundamental probability concepts including the law of large numbers, independent events, conditional probability, and the law of total probability. Designed for grades 11-12, the assessment evaluates students' understanding of probability interpretations, binomial probability calculations, complement rule applications, and conditional probability using Bayes' theorem. Students need to distinguish between theoretical probability and its practical interpretation, recognize the independence of events (avoiding the gambler's fallacy), calculate probabilities for compound events, and apply tree diagrams to solve complex probability scenarios. The questions require students to work with both multiple-choice conceptual understanding and open-ended calculations involving multi-step probability problems with real-world contexts. Created by Yolanda Salabarria, a Mathematics teacher in the US who teaches grades 11-12. This comprehensive assessment serves multiple instructional purposes in an AP Statistics classroom, functioning effectively as a chapter test following instruction on basic probability rules and conditional probability. The quiz works well as a formative assessment tool to gauge student readiness before advancing to more complex probability distributions, or as targeted review material before the AP exam. Teachers can assign individual questions as warm-up problems or use the multi-part scenario questions for collaborative problem-solving activities. The assessment aligns with Common Core standards S-CP.1 through S-CP.7, covering sample spaces, independence, conditional probability, and the multiplication rule, while also supporting AP Statistics Learning Objectives related to probability as the foundation for statistical inference.
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8 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If you flip three coins, the probability of getting three heads is 0.125. Which of the following statements follows from this?
If you flip three coins 1000 times, you will get three heads exactly 125 times.
If you flip 3 coins 10 times and never get three heads, the probability of getting three heads in the next set of 10 flips is slightly greater than 0.125.
If you have 20 sets of three coin flips, then at least one set of flips will be three heads.
If you flip 3 coins 5000 times, the percentage of time you get three heads will be very close 12.5%.
If you get 3 heads two times in a row, the probability of getting 3 heads again on the next toss of 3 coins is nearly zero.
Tags
CCSS.HSS.CP.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Forrest has determined that if he gets to the bus stop at 7:30 am, there is a 0.15 probability that he misses the bus. If he arrives at the bus stop three consecutive days at 7:30, what is the approximate probability that he catches the bus all three days?
0.003
0.386
0.450
0.614
0.997
Tags
CCSS.HSS.CP.A.3
CCSS.HSS.CP.B.8
CCSS.HSS.CP.A.2
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
People with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only 7.2% of the American population has O-negative blood. If 10 Americans are randomly selected, what is the probability that at least 1 of them is a universal donor?
0
0.474
0.526
0.720
1
Tags
CCSS.HSS.CP.A.1
CCSS.HSS.CP.B.7
CCSS.HSS.CP.B.9
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Of people who died in the United States in a recent year, 86% were white, 12% were black, and 2% were Asian. (We will ignore the small number of deaths among other races.) Diabetes caused 2.8% of deaths among whites, 4.4% among blacks, and 3.5% among Asians. What is the probability that a randomly chosen death was due to diabetes?
0.96
0.107
0.042
0.038
0.030
Tags
CCSS.HSS.CP.B.7
CCSS.HSS.CP.B.8
CCSS.HSS.IC.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1. Which of the following is the conditional probability of A, given B?
1/2
3/10
1/5
1/6
Cannot be determined from the information given.
Tags
CCSS.HSS.CP.A.3
CCSS.HSS.CP.B.6
CCSS.HSS.CP.A.4
6.
OPEN ENDED QUESTION
2 mins • Ungraded
In a large high school 15% of Sophomores, 25% of Juniors, and 55% of Seniors drive to school. According to the registration office 24% of students are Sophomores, 26% are Juniors, and 30% are Seniors. Suppose we select one student from this school at random and record which class they are in as well as whether they drive to school or not.
(a) Draw a tree diagram to model this random process.
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Tags
CCSS.HSS.CP.A.1
CCSS.HSS.CP.A.3
CCSS.HSS.CP.B.7
CCSS.HSS.CP.B.6
7.
OPEN ENDED QUESTION
2 mins • Ungraded
In a large high school 15% of Sophomores, 25% of Juniors, and 55% of Seniors drive to school. According to the registration office 24% of students are Sophomores, 26% are Juniors, and 30% are Seniors. Suppose we select one student from this school at random and record which class they are in as well as whether they drive to school or not.
Find the probability that the student drives to school.
Evaluate responses using AI:
OFF
Tags
CCSS.HSS.CP.A.1
CCSS.HSS.CP.B.7
CCSS.HSS.CP.A.4
CCSS.HSS.IC.A.1
CCSS.HSS.IC.B.4
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