5. Suppose X is a continuous random variable having PDF 1+x, −1≤ x < 0 1-x, 0, (a) Find E(X). (b) Find E(X²). (c) Find v

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5 Suppose X Is A Continuous Random Variable Having Pdf 1 X 1 X 0 1 X 0 A Find E X B Find E X C Find V 1 (26.39 KiB) Viewed 48 times

5. Suppose X is a continuous random variable having PDF 1+x, −1≤ x < 0 1-x, 0, (a) Find E(X). (b) Find E(X²). (c) Find var(X2²). f(x) = 0≤x≤1 otherwise Hint: Since the PDF has a case-splitting formula, you must split integrals into pieces E{g(X)} = [₁ 9(a)f(a) da + such that the PDF is defined by one formula for each piece. g(x)f(x) dx