4. Suppose X₁ and X₂ are independent random variables with cdf Fx (x) = sin(x), 0 ≤ x ≤ 1/ a. Show that fx(2) (x) = 2sin(x) cos(x), where X (2) is the random variable for the 2nd order statistic. (Remember, we only have 2 random variables.) . b. Show that fx) (r) = 2cos(r)[1 - sin(x)], where X(1) is the random variable for the 1st order statistic.

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