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Q4. (10 marks) Let X1 and X2 be two independent random variables. Suppose each Xi is exponentially distributed with parameter Xi. Let Y=Min (X1, X2). A) (5 marks) Find the pdf of Y. B) (5 marks) Find E(Y). Hint: Let Y = Min (X1, X2). 1.P[Y > c] = P[Min (X1, X2) > c] = P[X, > c, X2 > c] 2. Obtain the pdf of Y by differentiating its cdf of Y. Q5. (10 marks) Let X1, ..., Xn be random variables corresponding to n independent bids for an item on sale. Suppose each Xi is uniformly distributed on [100, 200]. If the seller sells to the highest bidder, what is the expected sale price? A) (5 marks) Find the pdf of W = Max (X1, Xz, ..., Xx). B) (5 marks) Find E(W). Hint: Let W = Max (X1, Xz, ..., Xn). 1. P[W