Value Function For Durable-Good Monopolist with General Distribution
You probably want to say that the optimal profit is $\pi=\frac{[1-F(p^*)]^2}{f(p^*)}$ where $F(x)$ is a given probability distribution, $f(x)$ is its density and $p^*$ satisfies $p^*=\frac{1-F(p^*)}{f(p^*)}$. 

If you are dealing with a general $F$ function, you may want to state the conditions that guarantee that $p^*$ exists and it is unique. If $F$ is uniform or some other well-known distribution, however, you should probably find in closed form the value of $p^*$ and give an actual number as optimal profit.