
Statistics Unit Review
Authored by Anthony Clark
Mathematics
12th Grade

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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
At a large high school 40 percent of the students walk to school, 32 percent of the students have been late to school at least once, and 37.5 percent of the students who walk to school have been late to school at least once. One student from the school will be selected at random. What is the probability that the student selected will be one who both walks to school and has been late to school at least once?
0.12
0.15
0.1875
0.345
0.72
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The table shows the probability distribution for the prize amounts that will be awarded at a school raffle.
Let the random variable P represent a randomly selected prize amount. What is the expected value of P?
$1.00
$3.90
$4.00
$10.00
$17.20
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
At a large university, data were collected on the number of sisters and brothers that each student had. Let the random variable X represent the number of sisters and the random variable Y represent the number of brothers. The distribution of X has mean 1.00 and standard deviation 0.94. The distribution of Y has mean 1.07 and standard deviation 1.04. What is the mean of the distribution of X+Y?
1.98
2.01
2.04
2.0528
2.07
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Julio sells computers at an electronics store. Let the random variable C represent the number of computers that Julio sells in one week. The table shows the probability distribution of C. Julio earns $800 per week, with a commission of $200 per computer sold. What is the expected value of Julio’s earnings for one week?
$3.31
$662
$1,462
$2,848
$3,310
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Parker has a part-time job picking apples. Let the random variable A represent the number of baskets of apples picked each day. The distribution of A has mean 4.5 baskets and standard deviation 1.3 baskets. Parker is paid $65 per day plus $5 per basket. What are the mean μ and standard deviation σ of Parker’s daily pay?
μ=$87.50 and σ=$71.50
μ=$87.50 and σ=$6.50
μ=$22.50 and σ=$6.50
μ=$87.50 and σ=$1.30
μ=$22.50 and σ=$71.50
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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?
0.10
0.28
0.47
0.53
0.76
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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?
0.24
4.11
4.24
16.79
16.92
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