17. Suppose that an experiment can result in one of r possible outcomes, the ith outcome having probability pi9 i = 1 , r , £ · = x pt = 1. If ç of these experiments are performed, and if the outcome of any one of the ç

does not affect the outcome of the other ç - 1 experiments, then show that the probability that the first outcome appears xx times, the second x2 times, and the rth xr times is This is known as the multinomial distribution.