118. a. Suppose the lifetime X of a component, when measured in hours, has a gamma distribution...

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118.

a. Suppose the lifetime X of a component, when measured in hours, has a gamma distribution with parameters

and . Let Y the lifetime measured in minutes.

Derive the pdf of Y. [Hint: Y y iff X y/60. Use this to obtain the cdf of Y and then differentiate to obtain the pdf.]

b. If X has a gamma distribution with parameters and , what is the probability distribution of Y cX?

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Probability And Statistics For Engineering And The Sciences

ISBN: 9781111802325

7th Edition

Authors: Dave Ellis, Jay L Devore

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Question Posted: Sep 16, 2024 08:00 AM

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118. a. Suppose the lifetime X of a component, when measured in hours, has a gamma distribution...

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Probability And Statistics For Engineering And The Sciences

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