7. If X1 and X2 are independent nonnegative continuous random variables, show that P{X1 < X2|min(X1,X2) =

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7. If X1 and X2 are independent nonnegative continuous random variables, show that P{X1 < X2|min(X1,X2) = t} = r1(t)

r1(t) + r2(t)

where ri(t) is the failure rate function of Xi.

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