Let Y1 and Y2 be independent random variables, each having the same geometric
Chapter 6, Problem 6.104(choose chapter or problem)
Let Y1 and Y2 be independent random variables, each having the same geometric distribution. a Find P(Y1 = Y2) = P(Y1 Y2 = 0). [Hint: Your answer will involve evaluating an infinite geometric series. The results in Appendix A1.11 will be useful.] b Find P(Y1 Y2 = 1). *c If U = Y1 Y2, find the (discrete) probability function for U. [Hint: Part (a) gives P(U = 0), and part (b) gives P(U = 1). Consider the positive and negative integer values for U separately.]
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