Finding the SOP expression for the XOR gate and the circuit for it
Your circuit diagram is correct. 

Side note however, if you're designing logical transistors (i.e. CMOS logic), then you are able to reduce the amount of transistors it will take to produce an XOR gate. The amount you have above would take 16 NMOS and PMOS transistors. However, I contend that you can reduce this down to 10.