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The time T between calls to a call center is exponentially distributed with mean 0.2 seconds. That is, E (T) = 1 A-0? callsn er minute

The time T between calls to a call center is exponentially distributed with mean 0.2 seconds. That is, E (T) = 1 A-0? callsn er minute

MATLAB: An Introduction with Applications
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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The time T between calls to a call center is exponentially distributed with mean 0.2 seconds. That is, E (T) = 1 A= 0.2 calls p er minute. (a) Give the value of the parameter A and give the expression for the p df of T. (b) Give the expression for the cdf of T. (c) Obtain the 90th percentile of the time between calls and interpret it. (d) If there has not been a request for several minutes, what's the probability that a call will be received in the next 30 seconds?
Transcribed Image Text:The time T between calls to a call center is exponentially distributed with mean 0.2 seconds. That is, E (T) = 1 A= 0.2 calls p er minute. (a) Give the value of the parameter A and give the expression for the p df of T. (b) Give the expression for the cdf of T. (c) Obtain the 90th percentile of the time between calls and interpret it. (d) If there has not been a request for several minutes, what's the probability that a call will be received in the next 30 seconds?
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