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Question 8 (15 pts). Let X1, X2, X3, X4 be iid random variables that are distributed as Exp(3). Consider the following random variable: (a)

Question 8 (15 pts). Let X1, X2, X3, X4 be iid random variables that are distributed as Exp(3). Consider the following random variable: (a) (4 pts) Compute E[Y]. (b) (2 pts) Compute E[X]. Y = XX2 + X2X3+ X3X4 + X4X1. (c) (9 pts) Hence or otherwise, compute Var(Y). (Hint: Working symbolically will lead you to the answer quickly)

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