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Let X be a random variable with probability density function given by f(x) = 2(1 −...

Let X be a random variable with probability density function given by

f(x) = 2(1 − x), 0 ≤ x ≤ 1,

  0, elsewhere.

(a) Find the density function of Y = 1 − 2X, and find E[Y ] and Var[Y ] by using the derived density function. (b) Find E[Y ] and Var[Y ] by the properties of the expectation and the varianc

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