Question: 1. (20 points) Suppose X is a uniform random variable on [0, 3] and Y is an exponential random variable with parameter = 2. X

1. (20 points) Suppose X is a uniform random variable on [0, 3] and Y is an exponential random variable with parameter = 2. X and Y are independent. Let Z = X +Y .

(a) Compute E(Z).

(b) Compute Var(Z).

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