AP STATISTICS UNIT 5 PROGRESS CHECK
MCQ PART C COMPREHENSIVE TEST 2026
FULL QUESTIONS AND CORRECT ANSWERS
●● According to a 2018 survey, 74 percent of employed young adults
expect to bring work on a vacation trip. A random sample of 20
employed young adults will be selected. What is the probability that 8 of
the selected young adults will expect to bring work on a vacation trip?
Answer: (20/8)(0.74)^8(0.26)^12
●● In the United States, 75 percent of adults wear glasses or contact
lenses. A random sample of 10 adults in the United States will be
selected. Which of the following is closest to the probability that fewer
than 8 of the selected adults wear glasses or contact lenses?
Answer: 0.47
●● According to a 2016 survey, 6 percent of workers arrive to work
between 6:45 A.M. and 7:00 A.M. Suppose 300 workers will be selected
at random from all workers in 2016. Let the random variable W
represent the number of workers in the sample who arrive to work
between 6:45 A.M. and 7:00 A.M. Assuming the arrival times of workers
are independent, which of the following is closest to the standard
deviation of W ?
Answer: 4.11
, ●● In the United States, the generation of people born between 1946 and
1964 are known as baby boomers, and the generation of people born
between 1981 and 1996 are known as millennials. Currently, 18 percent
of the population are baby boomers and 27 percent of the population are
millennials. A random sample of 500 people will be selected. Let the
random variable B represent the number of baby boomers in the sample,
and let the random variable M represent the number of millennials in the
sample. By how much will the mean of M exceed the mean of B ?
Answer: 45
●● According to a 2015 Census Bureau survey, 75,511 of the 822,959
residents of Baltimore County, Maryland, were enrolled in college.
Consider a sample of 800 residents of Baltimore County, Maryland in
2015 selected at random. Which of the following is closest to the
expected value of the number in the sample enrolled in college?
Answer: 73.4
●● During a severe storm, electrical transformers that function
independently are expected to operate 85 percent of the time. Suppose
20 electrical transformers are randomly selected from the population.
Let the random variable T represent the number of electrical
transformers operating during a severe storm. Which of the following is
the best interpretation of the random variable T ?
Answer: It is a binomial variable with mean 17 transformers and
standard deviation 2.55√2.55 transformers.
MCQ PART C COMPREHENSIVE TEST 2026
FULL QUESTIONS AND CORRECT ANSWERS
●● According to a 2018 survey, 74 percent of employed young adults
expect to bring work on a vacation trip. A random sample of 20
employed young adults will be selected. What is the probability that 8 of
the selected young adults will expect to bring work on a vacation trip?
Answer: (20/8)(0.74)^8(0.26)^12
●● In the United States, 75 percent of adults wear glasses or contact
lenses. A random sample of 10 adults in the United States will be
selected. Which of the following is closest to the probability that fewer
than 8 of the selected adults wear glasses or contact lenses?
Answer: 0.47
●● According to a 2016 survey, 6 percent of workers arrive to work
between 6:45 A.M. and 7:00 A.M. Suppose 300 workers will be selected
at random from all workers in 2016. Let the random variable W
represent the number of workers in the sample who arrive to work
between 6:45 A.M. and 7:00 A.M. Assuming the arrival times of workers
are independent, which of the following is closest to the standard
deviation of W ?
Answer: 4.11
, ●● In the United States, the generation of people born between 1946 and
1964 are known as baby boomers, and the generation of people born
between 1981 and 1996 are known as millennials. Currently, 18 percent
of the population are baby boomers and 27 percent of the population are
millennials. A random sample of 500 people will be selected. Let the
random variable B represent the number of baby boomers in the sample,
and let the random variable M represent the number of millennials in the
sample. By how much will the mean of M exceed the mean of B ?
Answer: 45
●● According to a 2015 Census Bureau survey, 75,511 of the 822,959
residents of Baltimore County, Maryland, were enrolled in college.
Consider a sample of 800 residents of Baltimore County, Maryland in
2015 selected at random. Which of the following is closest to the
expected value of the number in the sample enrolled in college?
Answer: 73.4
●● During a severe storm, electrical transformers that function
independently are expected to operate 85 percent of the time. Suppose
20 electrical transformers are randomly selected from the population.
Let the random variable T represent the number of electrical
transformers operating during a severe storm. Which of the following is
the best interpretation of the random variable T ?
Answer: It is a binomial variable with mean 17 transformers and
standard deviation 2.55√2.55 transformers.
