A hospital has two operation rooms. The service times for each of them is exponentially distributed with mean 17 minutes and are supposed to be independent. When both operation rooms are not busy then Akbar arrives. Whereas Bilal arrives 12 minutes later while Akbar is still under medication. After another 20 minutes later, Sameer arrives and both Akbar and Bilal are still under the medical treatment. There is no other arrival of any patient during this 40-minute time period. (a). Find the probability that Akbar will be ready before the Bilal’s arrival? (b). Find the probability that Sameer will be ready before Bilal’s arrival? (c). Find the probability that Sameer will be ready before Bilal’s arrival?

A hospital has two operation rooms. The service times for each of them is exponentially distributed with mean 17 minutes and are supposed to be independent. When both operation rooms are not busy then Akbar arrives. Whereas Bilal arrives 12 minutes later while Akbar is still under medication. After another 20 minutes later, Sameer arrives and both Akbar and Bilal are still under the medical treatment. There is no other arrival of any patient during this 40-minute time period. (a). Find the probability that Akbar will be ready before the Bilal’s arrival? (b). Find the probability that Sameer will be ready before Bilal’s arrival? (c). Find the probability that Sameer will be ready before Bilal’s arrival?

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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