. When a movie is released in a movie theater, it is this film-ad-this-film-ad that alternates all the time. Consider a movie with 2.5 hours of commercial + running time now in theaters. If you didn't read the pla schedule when you went out today, the movie's play time when you got to the theater can be regarded as uniform density function. a. Please estimate the probability that you will arrive at the theater within 4 minutes before or after th movie starts. (round to 2 decimal places) b. Find the expected value of the time the movie has been released when you arrive at the theater.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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1. When a movie is released in a movie theater, it is this film-ad-this-film-ad that alternates all the time.
Consider a movie with 2.5 hours of commercial + running time now in theaters. If you didn't read the play
schedule when you went out today, the movie's play time when you got to the theater can be regarded as a
uniform density function.
a. Please estimate the probability that you will arrive at the theater within 4 minutes before or after the
movie starts. (round to 2 decimal places)
b. Find the expected value of the time the movie has been released when you arrive at the theater.
Transcribed Image Text:1. When a movie is released in a movie theater, it is this film-ad-this-film-ad that alternates all the time. Consider a movie with 2.5 hours of commercial + running time now in theaters. If you didn't read the play schedule when you went out today, the movie's play time when you got to the theater can be regarded as a uniform density function. a. Please estimate the probability that you will arrive at the theater within 4 minutes before or after the movie starts. (round to 2 decimal places) b. Find the expected value of the time the movie has been released when you arrive at the theater.
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