The Hoylake Rescue Squad receives an emergency call every 1, 2, 3, 4, 5, or 6 hours, accordingto the following probability distribution. The squad is on duty 24 hours per day, 7 daysper week:Time BetweenEmergency Calls (hr.) Probability1 .052 .103 .304 .305 .206 .051.00 Compute the average time between calls and compare this value with the expected value of the time between calls from the probability distribution. Why are the results different?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 17P
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The Hoylake Rescue Squad receives an emergency call every 1, 2, 3, 4, 5, or 6 hours, according
to the following probability distribution. The squad is on duty 24 hours per day, 7 days
per week:
Time Between
Emergency Calls (hr.) Probability
1 .05
2 .10
3 .30
4 .30
5 .20
6 .05
1.00 Compute the average time between calls and compare this value with the expected
value of the time between calls from the probability distribution. Why are the results
different?

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