Question: 3. For some constant c, the random variable X has probability density function $$ f(x) = begin{cases} cx^4 & 0 < x < 2

3. For some constant

c, the random variable X has probability density function

$$

f(x) = \begin{cases}

cx^4 & 0 < x < 2 \\

0 & otherwise

\end{cases}

$$

Find

(a) E[X] and

(b) Var(X).

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