Buses arrive at a specified stop at 15-minute intervals starting at 7 A.M. That is, they arrive at 7, 7:15, 7:30, 7:45, and so on. If a passenger arrives at the stop at a time that is uniformly distributed between 7 and 7:45, find the probability that he waits. a) Less than 5 minutes for a bus. b) At least 12 minutes for a bus.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Buses arrive at a specified stop at 15-minute intervals starting at 7 A.M. That is, they arrive at 7,
7:15, 7:30, 7:45, and so on. If a passenger arrives at the stop at a time that is uniformly
distributed between 7 and 7:45, find the probability that he waits.
a) Less than 5 minutes for a bus.
b) At least 12 minutes for a bus.
Transcribed Image Text:Buses arrive at a specified stop at 15-minute intervals starting at 7 A.M. That is, they arrive at 7, 7:15, 7:30, 7:45, and so on. If a passenger arrives at the stop at a time that is uniformly distributed between 7 and 7:45, find the probability that he waits. a) Less than 5 minutes for a bus. b) At least 12 minutes for a bus.
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