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## Homework Statement

A continuous random variable X has density f(x) = ax

^{2}(1- x) for 0 < x < 1, and

f(x) = 0 otherwise. Here a is a constant, to be determined. Find the distribution func-

tion FX, the constant a, the expectation E(X), the variance Var(X), and the conditional

probability p(X < 1/2 | X > 1/4)

## Homework Equations

## The Attempt at a Solution

Really don't know where to start