2. (Suppose that X ~ r(10, 2). The pdf of X is 210 jx(x) = x > () T(10) e a. Write down E(X). b. Let Y have the following pdf: fy (y) = C'e" fx(y), y > 0 Derive the value of C above and hence show...

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Extracted text: 2. (Suppose that X ~ r(10, 2). The pdf of X is 210 jx(x) = x > () T(10) e a. Write down E(X). b. Let Y have the following pdf: fy (y) = C'e" fx(y), y > 0 Derive the value of C above and hence show that Y follows a P(10, 1) distribution.