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 7)

(d) P(X> 7,5

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