AP Statistics Quiz 2 Fall 2024

A high school science teacher has 78 students. Of those students, 35 are in the band and 32 are on a sports team. There are 16 student who are not in the band or on a sports team. One student from the 78 will be selected at random. Let event B represent the event of selecting a student in the band, and let event S represent the event of selecting a student on a sports team. Are B and S mutually exclusive events.

NOTE: Mutually exclusive events means events that have no outcomes in common.

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CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

At a sporting event, cheerleaders will throw 50 bundled T-shirts into the crowd. The T-shirt sizes consist of 10 small, 15 medium, and the remainder either large or extra large. Suppose Ana catches a T-shirt. What is the probability that she will catch a T-shirt that is not a size small?

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CCSS.7.SP.C.7B

A group of six students: Lizbeth, Ariana, Jocelyn, Dennise, Leslie, and Raquel will select three of them to speak to the principal about a concern they have. What is the probability the trio of Ariana-Dennise-Raquel get selected?

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CCSS.HSS.CP.B.9

A prize game at a circus has a spinner with 12 sections, where each section is equally likely to be selected when the spinner is spun. There are 7 blue sections and 5 orange sections. Nelly has spun the spinner 4 times and the pattern of outcomes was orange, blue, orange, blue. Nelly will spin the spinner two more times. Which of the following statements is true?

• On Nelly’s fifth spin of the spinner, the probability that the spinner will land in a blue-colored section is equal to the probability that the spinner will land in an orange-colored section.

• On Nelly’s fifth spin of the spinner, the probability that the spinner will land in a blue-colored section is less than the probability that the spinner will land in an orange-colored section.

• On Nelly’s fifth and sixth spins of the spinner, the probability that the spinner will land in a blue-colored section for both spins is equal to the probability that the spinner will land in an orange-colored section for both spins.

• On Nelly’s fifth and sixth spins of the spinner, the probability that the spinner will land in a blue-colored section for both spins is greater than the probability that the spinner will land in an orange-colored section for both spins.

• On Nelly’s fifth and sixth spins of the spinner, the probability that the spinner will land in a blue-colored section for both spins is less than the probability that the spinner will land in an orange-colored section for both spins.

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CCSS.HSS.CP.A.5

At a college the scores on the chemistry final exam are approximately normally distributed, with a mean of 75 and a standard deviation of 12. The scores on the calculus final are also approximately normally distributed, with a mean of 80 and a standard deviation of 8. A student scored 81 on the chemistry final and 84 on the calculus final. Relative to the students in each respective class, in which subject did this student do better?

• The student did better in chemistry.

• The student did better in calculus.

• The student did equally well in each course.

• There is no basis for comparison, since the subjects are different from each other and are in different departments.

• There is not enough information for comparison, because the number of students in each class is not known.

Tags

CCSS.HSS.ID.A.4

Tags

CCSS.HSS.ID.A.4

For a recent season in college football, the total number of rushing yards for that season is recorded for each running back. The mean number of rushing yards for the running backs that season is 790 yards. One running back had 1,637 rushing yards for the season, which is 2.42 standard deviations above the mean number of rushing yards. What is the standard deviation of the number of rushing yards for the running backs that season?

An online customer service department estimates that about 15 percent of callers have to wait more than 8 minutes to have their calls answered by a person. The department conducted a simulation of 1,000 trials to estimate the probabilities that a certain number of callers out of the next 10 callers will have to wait more than 8 minutes to have their calls answered. The simulation is shown in the following histogram.

Based on the simulation, what is the probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered?

Tags

CCSS.7.SP.C.8C

Height, in meters, is measured for each person in a sample. After the data are collected, all the height measurements are converted from meters to centimeters by multiplying each measurement by 100. Which of the following statistics will remain the same for both units of measure?

• The mean of the height measurements

• The median of the height measurements

• The standard deviation of the height measurements

• The maximum of the height measurements

• The z-scores of the height measurements

A certain type of remote-control car has a fully charged battery at the time of purchase. The distribution of running times of cars of this type, before they require recharging of the battery for the first time after its period of initial use, is approximately normal with a mean of 80 minutes and a standard deviation of 2.5 minutes. The shaded area in the figure below represents which of the following probabilities?

• The probability that the running time of a randomly selected car of this type, before it requires recharging of the battery for the first time after its period of initial use, is between 75 minutes and 82.5 minutes.

• The probability that the running time of a randomly selected car of this type, before it requires recharging of the battery for the first time after its period of initial use, is between 75 minutes and 85 minutes.

• The probability that the running time of a randomly selected car of this type, before it requires recharging of the battery for the first time after its period of initial use, is between 77.5 minutes and 82.5 minutes.

• The probability that the running time of a randomly selected car of this type, before it requires recharging of the battery for the first time after its period of initial use, is between 77.5 minutes and 85 minutes.

• The probability that the running time of a randomly selected car of this type, before it requires recharging of the battery for the first time after its period of initial use, is between 77.5 minutes and 87.5 minutes.

Tags

CCSS.HSS.ID.A.4