</font><font color="blue" class="small">( I assume it is writing to memory when it shows you the short preview of the picture you just took? )</font>
Actually, I believe that is independent of the writing. It may have already written it, but still show the preview. Also, I believe there is some memory in your camera that allows you to take a second picture before the first one has completed writing to disk/flash/etc.
The Pre-Focus is one of the most important things you should learn/practice to do. This is what will separate photos to keep vs. photos to delete.
I was at a wrestling tournament last weekend and saw a father taking pictures of his son's match. He was clueless as to the pre-focus technique. He would hold up the camera, depress the shutter button all the way down, and then about 3 seconds later the camera would flash. He was getting so upset for people would be walking in front of the mat within that 3-second window, the move his son was performing already completed, the ref got in the way, etc.
I was going to explain to him how to use pre-focus to take better pictures, but he was so intense during his son's match that I didn't dare want to interrupt him -- so I was going to wait until the match was over. Well, as soon as the match completed, he packed up his stuff and left the bleachers. His son had just been eliminated from the tournament (it was his 2nd loss of the day). My opportunity had left to make his photo taking experience better.
My biggest suggestion when buying a digital camera is to read the manual when you buy it, use the camera for a while, and then go back and RE-READ the manual. You would be surprised how many things you now understand that seemed either unimportant or too complicated during the first read.