70. Multinomial Distribution. The multinomial probability distribution is similar to the binomial distribution, except that the binomial involves only two categories, whereas the multinomial involves more than two categories. Suppose we have three mutually exclusive outcomes, , and , where , , and . If we have a sample of independent trials, then the probability that we get outcomes of category , outcomes of category , and outcomes of category is given by the following formula:

Suppose that 30% of students on a particular college campus are Democrats, 30% are Republicans, and 40% are Independents. Suppose we take a random sample of 10 students.