Suppose there are 4 molecules, and that the probability of a molecule's remaining is thought to be p = 0.6. In a sample of 80 cells, we find 5 with no molecules, 20 with one molecule, 20 with two molecules, 20 with three molecules, and 15 with four molecules.
The number of molecules remaining in a cell is thought to follow a binomial distribution with the given parameter. In each case, find whether there is reason to reject this model.