Probstat/week8 practice 1

This is part of probstat

This exercise considers continuous random variables.

Expectation

Definition: If $X$ is a continuous random variable whose probability distribution function (pdf) is $f(x)$, we define the expected value of $X$ to be

$\mathrm {E} [X]=\int _{-\infty }^{\infty }xf(x)dx$