Let X₁ and X₂ be a random sample of size n = 2 from the exponential distribution with pdf f (x) = 2e⁻²x, 0 < x < [infinity]. Find
a. P(0.5 < X₁ < 1.0, 0.7 < X₂ < 1.2).
b. E[X₁(X₂− 0.5)2].