a. Suppose the lifetime X of a component, when measuredin
Chapter 4, Problem 118(choose chapter or problem)
a. Suppose the lifetime X of a component, when measured in hours, has a gamma distribution with parameters \(\alpha\) and \(\beta\). Let Y = the lifetime measured in minutes. Derive the pdf of Y. [Hint: \(Y \leq y iff X \leq y/60\). Use this to obtain the cdf of Y and then differentiate to obtain the pdf.]
b. If X has a gamma distribution with parameters \(\alpha\) and \(\beta\), what is the probability distribution of Y = cX?
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