A movie has start times of 7:00, 7:20, and 7:40 p.m. You arrive randomly at the theater between 7:00 and 7:40 p.m. Let x be the number of minutes after 7:00 that you arrive at the theater. (a) What is the distribution of x? f(x) = for (b) What is the probability that you wait less than 15 minutes until a movie starts? (c) What is the probability that you wait more than 15 minutes until a movie starts?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A movie has start times of 7:00, 7:20, and 7:40 p.m. You arrive randomly at the theater between 7:00 and 7:40 p.m. Let x be the number of minutes after 7:00 that you arrive at the theater.
(a) What is the distribution of x?
f(x) =
for
(b) What is the probability that you wait less than 15 minutes until a movie starts?
(c) What is the probability that you wait more than 15 minutes until a movie starts?
Transcribed Image Text:A movie has start times of 7:00, 7:20, and 7:40 p.m. You arrive randomly at the theater between 7:00 and 7:40 p.m. Let x be the number of minutes after 7:00 that you arrive at the theater. (a) What is the distribution of x? f(x) = for (b) What is the probability that you wait less than 15 minutes until a movie starts? (c) What is the probability that you wait more than 15 minutes until a movie starts?
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