In a call center that stays open all the time, calls arrive as a Poisson process with a mean rate of 0.3 complaints per hour.(a) After receiving a call (the 1st call), what is the probability that the 51st call arrives within 150 hours?(b) After receiving a call, what is the probability that the next call arrives after 2 hours(c) The number of calls received each day is recorded for 50 consecutive days. Find the probability that the sum of these 50 numbers is less than 356.

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Answered: In a call center that stays open all…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a call center that stays open all the time, calls arrive as a Poisson process with a mean rate of 0.3 complaints per hour.

(a) After receiving a call (the 1st call), what is the probability that the 51st call arrives within 150 hours?
1. (b) After receiving a call, what is the probability that the next call arrives after 2 hours
2. (c) The number of calls received each day is recorded for 50 consecutive days. Find the probability that the sum of these 50 numbers is less than 356.

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