Density $\tfrac12$ on $(0,1)$ plus atoms of $\tfrac14$ at 1 and 2

Let X be a r.v. with cdf $F(x)=0$ if $x<0$; $x/2$ if $0\le x<1$; $3/4$ if $1\le x<2$; $1$ if $2\le x$. Then $E(X)$ is given by: