Question: 2. For some constant c, the random variable X has probability density function $$ f(x) = begin{cases} cx^2 & 0 < x < 1

2. For some constant

c, the random variable X has probability density function

$$

f(x) = \begin{cases}

cx^2 & 0 < x < 1 \\

0 & otherwise

\end{cases}

$$

Find

(a) c and

(b) P(X > x), 0 < x < 1.

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