A continuous random variable X, has the density function f(x) =((6/5)(x^2)) , 0 ≤ x ≤...

A continuous random variable X, has the density function f(x) =((6/5)(x^2)) , 0 ≤ x ≤ 1; (6/5) (2 − x), 1 ≤ x ≤ 2; 0, elsewhere. (a) Verify f(x) is a valid density function. (b) Find P(X > 3 2 ), P(−1 ≤ X ≤ 1). (c) Compute the cumulative distribution function F(x) of X. (d) Compute E(3X − 1), E(X2 + 1) and σX.

Expert Solution

orchestra answered 1 year ago

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