Customers arrive at a facility according to a Poisson process N(t) of rate λ = 4.5 customers/hour. Each customer isadmitted to the facility with probability p = 0.8. All customers, who are not admitted, leave and do not come back. LetX(t) be the number of customers admitted from time 0 to time t. Compute the following:(a) The mean value E[X(6.5)] = 23.4(b) The probability P(X(6.5) = 23) ==(c) The conditional probability P(X(6.5) = 23 | N(6.5) = 30) =%.%.Note: For parts (b) and (c), enter your answers as percentages but do not type the percent sign.

Concept used here:In a Poisson process, the number of events occurring in a fixed period of time or…

Answered: Customers arrive at a facility…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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