# Question

Let X1 and X2 be a random sample of size n = 2 from the exponential distribution with pdf f(x) = 2e−2x, 0 < x < ∞. Find

(a) P(0.5 < X1 < 1.0, 0.7 < X2 < 1.2).

(b) E[X1(X2 − 0.5)2].

(a) P(0.5 < X1 < 1.0, 0.7 < X2 < 1.2).

(b) E[X1(X2 − 0.5)2].

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