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Suppose that X1 and X2 are independent continuous random variables with the same probability density function...

Suppose that X1 and X2 are independent continuous random variables with the same probability density function as: f(x) = ( x 2 0 < x < 2, 0 otherwise. Let a new random variable be Y = min(X1, X2,).

a) Use distribution function method to find the probability density function of Y, fY (y).

b) Compute P(Y > 1).

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