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 α and β. Let Y 5 the lifetime measured in minutes. Derive the pdf of Y. 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 α and β, what is the probability distribution of Y = c X?
DistributionThe word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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a Thus fYy which shows that Y has a gamma d...View the full answer
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Related Book For 
Probability And Statistics For Engineering And The Sciences
ISBN: 9781305251809
9th Edition
Authors: Jay L. Devore
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