The probability density function of a random variables x is f(x)=x4(4−x2);for0≤x≤2=0;otherwise The mean μx of the random variable is
The probability density function of a random variable X is Px(x)=e−x for x≥0 and 0 otherwise. The expected value of the function gx(x)=e3x/4 is .
The variance of the random variable X with probability density function f(x)=12|x|e−|x| is .