How does a multinomial distribution differ from a binomial distribution?
A)A binomial has only two possible categories and a multinomial can have more.
B)A binomial has a fixed number of n trials.A multinomial has a fixed number of nk trials,where k is the number of categories.
C)The probabilities in a binomial distribution are always p and 1 − p.The trials in a multinomial distribution are always p/k and (1 − p/k).
D)All of these choices are true.

Question

Quizplus · Accepted Answer

A multinomial distribution generalizes the binomial distribution by allowing more than two categories for each trial, whereas a binomial distribution is limited to two categories (success and failure). Choices B and C contain inaccuracies regarding the structure of trials and probabilities in multinomial distributions.

How Does a Multinomial Distribution Differ from a Binomial Distribution