Let X Bin(100, 0.9). For each of the following parts, construct an example showing that
Chapter 4, Problem 19(choose chapter or problem)
Let X Bin(100, 0.9). For each of the following parts, construct an example showing that it is possible, or explain clearly why it is impossible. In this problem, Y is a random variable on the same probability space as X; note that X and Y are not necessarily independent. (a) Is it possible to have Y Pois(0.01) with P(X Y ) = 1? (b) Is it possible to have Y Bin(100, 0.5) with P(X Y ) = 1? (c) Is it possible to have Y Bin(100, 0.5) with P(X Y ) = 1?
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