AP STAT UNIT 4 PROGRESS CHECK:
MCQ PART C QUESTIONS &
ANSWERS
A thumbtack that is tossed can land point up or point down. The probability of a tack
landing point up is 0.2. A simulation was conducted in which a trial consisted of tossing
5 thumbtacks and recording the number of thumbtacks that land point up. Many trials of
the simulation were conducted and the results are shown in the histogram.
Based on the results of the simulation, which of the following is closest to the probability
that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed? -
ANSWER0.28
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? - ANSWER0.47
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 ? -
ANSWER4.11
A random sample of n people selected from a large population will be asked whether
they have read a novel in the past year. Let the random variable R represent the
number of people from the sample who answer yes. The variance of random variable R
is 6. Assume the responses are independent of each other. If the proportion of people
from the population who read a novel in the past year is 0.40, which of the following is
the best interpretation of random variable R ? - ANSWERA binomial variable with 25
independent trials
A local department store estimates that 10 percent of its customers return the
merchandise they purchase. Let the random variable R represent the number of returns
for a random sample of 40 customers. Assume that random variable R follows a
binomial distribution. What is described by the value of (40/8)(0.1)^8(0.9)^32? -
ANSWERThe probability that 8 customers in the sample will return merchandise
MCQ PART C QUESTIONS &
ANSWERS
A thumbtack that is tossed can land point up or point down. The probability of a tack
landing point up is 0.2. A simulation was conducted in which a trial consisted of tossing
5 thumbtacks and recording the number of thumbtacks that land point up. Many trials of
the simulation were conducted and the results are shown in the histogram.
Based on the results of the simulation, which of the following is closest to the probability
that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed? -
ANSWER0.28
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? - ANSWER0.47
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 ? -
ANSWER4.11
A random sample of n people selected from a large population will be asked whether
they have read a novel in the past year. Let the random variable R represent the
number of people from the sample who answer yes. The variance of random variable R
is 6. Assume the responses are independent of each other. If the proportion of people
from the population who read a novel in the past year is 0.40, which of the following is
the best interpretation of random variable R ? - ANSWERA binomial variable with 25
independent trials
A local department store estimates that 10 percent of its customers return the
merchandise they purchase. Let the random variable R represent the number of returns
for a random sample of 40 customers. Assume that random variable R follows a
binomial distribution. What is described by the value of (40/8)(0.1)^8(0.9)^32? -
ANSWERThe probability that 8 customers in the sample will return merchandise
