Hello, I have been stuck on this problem for about a week and a half. I was wondering if there was anyone out there who might understand it and explain it clearly to me. Suppose a volume of 1000 drops of water contains 2000 bacteria, separate from each other and thoroughly mixed in the water. A single drop is smeared uniformly over the surface of the dish. The dish contains nutrients on which the bacteria feed and multiply. After a few days, wherever a bacterium was deposited on the dish a visible colony of bacteria appears. Find the distribution of the number of colonies that appear. (a) over the whole plate, and (b) over an area of half the plate.