Poisson Model

The tank of water below contains amoebas.
The amoebas are randomly distributed in the tank of water. The mean number of amoebas that can be captured in a sample (blue square) is 4. Press refresh to have a new set. 1) Drag the square around the grid. Can you find a position where there are a) 4 amoebas in the grid b) 3 amoebas in the grid c) 2 amoebas in the grid d) 1 amoeba in the grid e) 0 amoebas in the grid? 2) Click on 'big sample' button to see a sample grid that has two times the area. What is the mean number of amoebas that can be captured in this grid?