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The continuous random variable X has a p.d.f. f(x) = [ 2 x, 0 <= x <= 1; 0, oth...

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The continuous random variable X has a p.d.f. f(x) = [ 2 x, 0 <= x <= 1; 0, otherwise ]. Which of the following is true?

i. Var(X) = 1/18

ii. σ(X) = sqrt(2)/6

iii. Var(5X + 7) = 7 5/18

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