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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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M1
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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