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(1) (20 pts) Suppose Y is continuous and has a uniform distribution with 0 g Y s 10. (a) What is E(Y)? (b) Find the

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(1) (20 pts) Suppose Y is continuous and has a uniform distribution with 0 g Y s 10. (a) What is E(Y)? (b) Find the probability density function of U1 = SY. (c) What is E[U1]? (d) Find the probability density function of U2 = Y2. (e) What is E[U2]? (2) (10 pts) Suppose Y is exponentially distributed with [3 = 20. (a) Find the probability density function of U = 4Y. (b) Does the result look familiar? What distribution is it, and what is/are its parameter(s)

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