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The r.v. X has the probability density function f (x) = ax + bx2 if 0...

The r.v. X has the probability density function f (x) = ax + bx2 if 0 < x < 1 and zero otherwise. If E[X] = 0.6, find (a) P[X < 21] and (b) Var(X). (Answers should be in numerical values and not be as expressions in a and b.)
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