(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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)

2. Relevant equations

3. The attempt at a solution

Really dont know where to start

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# PROBABILITY: Distribution function

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