Chapter 8.2, Problem 2E

Find the expected value of a random variable X having the following probability distribution:

$x$	$0$	$1$	$2$	$3$	$4$	$5$
$P\left(X=x\right)$	$\frac{1}{8}$	$\frac{1}{4}$	$\frac{3}{16}$	$\frac{1}{4}$	$\frac{1}{16}$	$\frac{1}{8}$