Question: Let X be an exponential random variable with mean equal to 5 and Y be an exponential random variable with mean equal to 8. Assume

Let X be an exponential random variable with mean equal to 5 and Y be an exponential random variable with mean equal to 8. Assume X and Y are independent. Find the following probabilities.

(a) P(X 5, Y 8)

(b) P(X 5, Y 6)

(c) P(3 X 7, Y 7)

(d) P(X 7, 5 Y 7)

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