Suppose the you have to take a bus towork. The amount of time until the next busarrives follows an Exponential distributionwith mean 7 minutes.(a) What is the probability that the next buswill arrive within 5 minutes?(b) 90% of all buses arrive within how manyminutes of the previous bus?(c) Suppose the bus still has not arrivedwithin 9 minutes of the last bus. Knowingthat, what is the probability that the nextbus will take at least 15 minutes to arrive?(d) Suppose that the amount of time thenext bus arrives is independent of eachnext bus with the same distribution(Exponential with mean 7). What is theprobability that the next bus arrives in lesstime than the next next bus (i.e. a secondbus)?

Solution According to guidelines we solve three subpart

Answered: Suppose the you have to take a bus to…

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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