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2. Let X N 50], the exponential distribution with parameter A. Let Y 2 {1X , where c is a positive constant. (a) [3 pts)

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2. Let X N 50], the exponential distribution with parameter A. Let Y 2 {1X , where c is a positive constant. (a) [3 pts) Find the distribution of Y by considering @143), the mo ment generation function of Y. (b) [3 pts) Obtain the mean and the variance of Y from iii/(s)

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