The service time for an application in a workplace is modelled as an exponential random variable with parameter λ = 5 per hour, independent and identically distributed for all applicants. Find the probability that 50 applicants are accommodated within 8 hours. (Hint: Answer is not 1)

The service time for an application in a workplace is modelled as an exponential random variable with parameter λ = 5 per hour, independent and identically distributed for all applicants. Find the probability that 50 applicants are accommodated within 8 hours. (Hint: Answer is not 1)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 2E

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Question

The service time for an application in a workplace is modelled as an exponential random variable with parameter λ = 5 per hour, independent and identically distributed for all applicants.