8. In commuting to work, I must first get on a bus near my house and then

Question:

8. In commuting to work, I must first get on a bus near my house and then transfer to a second bus. If the waiting time

(in minutes) at each stop has a uniform distribution with A 0 and B 5, then it can be shown that my total waiting time Y has the pdf

a. Sketch a graph of the pdf of Y.

b. Verify that
f(y) dy 1.

c. What is the probability that total waiting time is at most 3 min?

d. What is the probability that total waiting time is at most 8 min?

e. What is the probability that total waiting time is between 3 and 8 min?

f. What is the probability that total waiting time is either less than 2 min or more than 6 min?

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Related Book For book-img-for-question

Probability And Statistics For Engineering And The Sciences

ISBN: 9781111802325

7th Edition

Authors: Dave Ellis, Jay L Devore

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Question Posted: Sep 16, 2024 08:00 AM

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