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1. (4 points) We draw two numbers at random with replacement from the.pdf

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Two numbers are drawn randomly with replacement from the set of numbers 1-5. The expectation of the product of the two random numbers X and Y is calculated. Then the same is done for drawing two numbers randomly without replacement from the same set.

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1. (4 points) We draw two numbers at random with replacement from the set {1,2,3,4,5}. Denote the first number, X, and the second number, Y. (a) Calculate the expectation of the product, E(XY) (b) Repeat part (a) if instead the two numbers are drawn at random without replacement from the set {1,2,3,4,5}.

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