a. Suppose the lifetime X of a component, when measured in hours, has a gamma distribution with parameters a and B. Let Y = the lifetime measured in minutes. Derive the pdf of Y. [Hint: Yy iff Xy/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 a and B. what is the probability distribution of Y = cX?