The distribution function has atoms of $\tfrac14$ at 2 and 3 — no option matches

Let X be a r.v. with the following $F(x)$: $F(x)=0$ for $x<0$; $x/4$ for $0\le x<2$; $3/4$ for $2\le x<3$; $1$ for $x\ge3$. Which of the following statements is correct?