In commuting to work, a professor must first get on a bus near her house and then transfer to asecond bus. If the waiting time (in minutes) at each stop has a uniform distribution with A = 0 and B= 10, then it can be shown that the total waiting time Y has the pdff (y) ==100 Y5100 ≤ y ≤ 1010 ≤ y ≤ 20a. Sketch a graph of the pdf of Y (do on your own paper, you will not be turning this in. It is for yourreference only.)[ f(y)dy=[-∞b. Verify that [ f (y) dy =11012010 =12+c. What is the probability that the total waiting time is at most 8 minutes?d. What is the probability that the total waiting time is at most 13 minutes?=1e. What is the probability that the total waiting time is between 8 and 13 minutes?f. What is the probability that the total waiting time is either less than 7 minutes or more than 14minutes?

First, we draw the graph of the PDF of the total waiting time (i.e. Y)

Answered: In commuting to work, a professor must…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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