Customers arrive at a service facility according to a Poisson process of rate A = 7 customers/hour. Let N(t) be the number of customers that have arrived up to time t hours. Let W₁, W2, W3, ... be the successive arrival times of the customers. (a) Find the expected arrival time of the 10-th customer, E[W₁0] = hours (b) Given N (3) = 3, determine the expected arrival time of the 10-th customer, E[W₁0 | N(3) = 3] = hours.

Customers arrive at a service facility according to a Poisson process of rate A = 7 customers/hour. Let N(t) be the number of customers that have arrived up to time t hours. Let W₁, W2, W3, ... be the successive arrival times of the customers. (a) Find the expected arrival time of the 10-th customer, E[W₁0] = hours (b) Given N (3) = 3, determine the expected arrival time of the 10-th customer, E[W₁0 | N(3) = 3] = hours.

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.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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