The lifetime of a device is a continuous random variable having the continuous uniform distribution Unif(0, 20). Suppose that under an age replacement strategy a planned replacement at age T = 5 costs 500 dollars, while a failure replaced at time X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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The lifetime of a device is a continuous random variable having the continuous uniform distribution Unif(0, 20). Suppose
that under an age replacement strategy a planned replacement at age T = 5 costs 500 dollars, while a failure replaced at
time X <T costs 570 dollars.
Determine the long-run average cost per unit time:
Transcribed Image Text:The lifetime of a device is a continuous random variable having the continuous uniform distribution Unif(0, 20). Suppose that under an age replacement strategy a planned replacement at age T = 5 costs 500 dollars, while a failure replaced at time X <T costs 570 dollars. Determine the long-run average cost per unit time:
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