Let assume seven PMTs situated around the origin of the x-y coordinates on the face of the Anger camera as illustrated in the figure. The size of the PMTs is 2mm by 2 mm and each PMT has been allocated a number. The single scintillation event yields a response from PMTs that recorded height 5, 10, 25, 30, 20, 0, 10 in the order of PMT numbers.
(1) Calculate the Z-pulse.
(2) Estimate the position of the event (X, Y).
![1275_zpulse.png](https://secure.tutorsglobe.com/CMSImages/1275_zpulse.png)