# Question

The useful life (in hours) of a certain kind of integrated circuit is a random variable having the probability density

If three of these circuits operate independently, Find

(a) The joint probability density of X1, X2, and X3, representing the lengths of their useful lives;

(b) The value of P(X1 < 100, X2 < 100, X3 ≥ 200).

If three of these circuits operate independently, Find

(a) The joint probability density of X1, X2, and X3, representing the lengths of their useful lives;

(b) The value of P(X1 < 100, X2 < 100, X3 ≥ 200).

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