Let X and Y be two independent random variables with probability mass function described

Chapter 12, Problem 30

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Let X and Y be two independent random variables with probability mass function described by the following table: k P(X = k) P(Y = k) 3 1 0 0.5 2 2.5 0.1 0.1 0.2 0.3 0.15 0.15 0.1 0.2 0.1 0.3 0.1 0.2 (a) Find E(X) and E(Y ). (b) Find E(X + Y ). (c) Find var(X) and var(Y ). (d) Find var(X + Y ).

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