Solved: Alice flips a fair coin n times and Bob flips another fair coin n + 1 times
Chapter 4, Problem 20(choose chapter or problem)
Alice flips a fair coin n times and Bob flips another fair coin n + 1 times, resulting in independent X Bin(n, 1 2 ) and Y Bin(n + 1, 1 2 ). (a) Let V = min(X, Y ) be the smaller of X and Y , and let W = max(X, Y ) be the larger of X and Y . (If X = Y , then V = W = X = Y .) Find E(V ) + E(W). (b) Show that P(X t P(X
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