Let be the random variable X with distribution function given by: Fx (x) = { x³ 1 a) Find the density function of X. b) find P[1sx5²/1 X 2 x ≤ 0 0 < x < 1 x ≥1 c) Find the expectation of X. d) Find the variance of X e) Find the standard deviation of X.

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