The service time for a passport application in a certain government office is modelled as an exponential random variable with parameter λ = 5 per hour, independent and identically distributed for all applicants. Determine the probability that 50 applicants is accommodated within eight hours. Determine the maximum number of applicants such that the chance of accommodating all of them within eight hours is at least 95%.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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The service time for a passport application in a certain government office is modelled as an exponential
random variable with parameter λ = 5 per hour, independent and identically distributed for all applicants.
Determine the probability that 50 applicants is accommodated within eight hours.
Determine the maximum number of applicants such that the chance of accommodating all of them within
eight hours is at least 95%.
Transcribed Image Text:The service time for a passport application in a certain government office is modelled as an exponential random variable with parameter λ = 5 per hour, independent and identically distributed for all applicants. Determine the probability that 50 applicants is accommodated within eight hours. Determine the maximum number of applicants such that the chance of accommodating all of them within eight hours is at least 95%.
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