1. Let X1, X2, X3 be identically distributed independent exponential random variables and Y = X₁+ X2 + X3. Suppose that EY4 = 480. Find the probability P(X2> 3|X1 <1).

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1. Let X1, X2, X3 be identically distributed independent exponential random
variables and Y = X₁ + X2 + X3. Suppose that EY4 = 480. Find the probability
P(X2 > 3|X1 < 1).
Transcribed Image Text:1. Let X1, X2, X3 be identically distributed independent exponential random variables and Y = X₁ + X2 + X3. Suppose that EY4 = 480. Find the probability P(X2 > 3|X1 < 1).
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