AnswersNC-Math 4Introduction to Random Variables

Introduction to Random Variables Answers

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Standardized tests for certain subjects, given to high school students, are scored on a scale of 1 to 5. Let X represent the score on a randomly selected exam. The distribution of scores for one subject’s standardized test is given in the table.

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A
The probability of a randomly selected test having a score of at most 4 is 0.36.
B
The probability of a randomly selected test having a score of at least 4 is 0.36.
C
The probability of a randomly selected test having a score lower than 4 is 0.85.
D
The probability of a randomly selected test having a score higher than 4 is 0.15.
5

One professional basketball player typically attempts eight free throws per game. Let X represent the number of free throws made out of eight. The distribution for X is shown in the table.Which of the following histograms correctly displays the distribution?

Question illustration
A
A histogram titled free throws has x = number of successful free throws on the x-axis, and probability on the y-axis. 0, 0.002; 1, 0.009; 2, 0.22; 3, 0.28; 4, 0.23; 5, 0.12; 6, 0.04; 7, 0.008; 8, 0.002.
Option A
B
A histogram titled free throws has x = number of successful free throws on the x-axis, and probability on the y-axis. 0, 0.002; 1, 0.008; 2, 0.04; 3, 0.12; 4, 0.23; 5, 0.28; 6, 0.21; 7, 0.09; 8, 0.02.
Option B
C
A histogram titled free throws has x = number of successful free throws on the x-axis, and probability on the y-axis. 0, 0.26; 1, 0.14; 2, 0.06; 3, 0.03; 4, 0.02; 5, 0.03; 6, 0.06; 7, 0.14; 8, 0.26.
Option C
D
A histogram titled free throws has x = number of successful free throws on the x-axis, and probability on the y-axis. 0, 002; 1, 0.03; 2, 0.11; 3, 0.22; 4, 0.27; 5, 0.22; 6, 0.11; 7, 0.03; 8, 0.002.
Option D

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