A piece of equipment has a lifetime T (measured in years) that is a continuous random variable

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A piece of equipment has a lifetime T (measured in years) that is a continuous random variable with cumulative distribution function F(t) 1 et10 (t10) et10 for all t 0.

a. What is the probability density function of T?

b. What is the probability that a piece of equipment survives more than 20 years?

c. What is the probability that a piece of equipment survives more than 10 years but fewer than 20 years?

d. What is the probability that a piece of equipment survives more than 20 years given that it has survived for 10 years?

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Production And Operations Analysis

ISBN: 9781478623069

7th Edition

Authors: Steven Nahmias, Tava Lennon Olsen

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Question Posted: Oct 19, 2024 05:00 AM

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A piece of equipment has a lifetime T (measured in years) that is a continuous random variable

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Production And Operations Analysis

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