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

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

Derive the pdf of Y. [Hint: iff . 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 ?

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Probability And Statistics For Engineering And The Sciences

ISBN: 9781133169345

8th Edition

Authors: Jay L Devore, Roger Ellsbury

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Question Posted: Sep 21, 2024 10:04 AM

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

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Probability And Statistics For Engineering And The Sciences

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