Question: Let X be exponential with expected value 3. Let Y be another random variable that depends on X as follows: if X > 5, then

Let X be exponential with expected value 3. Let Y be another random variable that depends on X as follows: if X > 5, then Y = X - 5; otherwise, Y = 0.
a. Find the expected value of Y.
b. Find the variance of Y.

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