Exercise 37 You arrive at a bus stop at a random time. According to the bus schedule, a bus arrives every 10 minutes. Let X be your wait time until the next bus arrives. (i) What are the possible values of the random variable X ? (ii) Determine a suitable probability density function fx. (iii) Integrate the density to find the cdf Fx. Draw the graph of the cdf Fx. (iv) What is the probability you have to wait between 3 and 5 minutes for the next bus?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Exercise 37 You arrive at a bus stop at a random time. According to the bus schedule, a bus arrives every 10 minutes.
Let X be your wait time until the next bus arrives.
(i) What are the possible values of the random variable X?
(ii) Determine a suitable probability density function fx.
(iii) Integrate the density to find the cdf Fx. Draw the graph of the cdf Fx.
(iv) What is the probability you have to wait between 3 and 5 minutes for the next bus?
Transcribed Image Text:Exercise 37 You arrive at a bus stop at a random time. According to the bus schedule, a bus arrives every 10 minutes. Let X be your wait time until the next bus arrives. (i) What are the possible values of the random variable X? (ii) Determine a suitable probability density function fx. (iii) Integrate the density to find the cdf Fx. Draw the graph of the cdf Fx. (iv) What is the probability you have to wait between 3 and 5 minutes for the next bus?
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