GATE2015-2-26

Question

The probability density function of a random variable, $x$ is

$f(x)= \begin{cases}  \dfrac{x}{4} ( 4-x^2)  & \text{ for } 0 \leq x \leq 2 \\  0 & \text{ otherwise} \end{cases}$

The mean $\mu _x$ of the random variable is ______.