Multinomial Distribution Formula. In probability theory the multinomial distribution is a generalization of the binomial distribution for example it models the probability of counts for each side of a k sided die rolled n times. We can also use a range as the argument of multinomial as in figure 1.
P n. Question 1 out of 1. X 1 x 2 x m n k 1 k 2 k m n n k 1 k 2 k m t 1 m x t k t displaystyle x 1 x 2 cdots x m n sum k 1 k 2 cdots k m n n choose k 1 k 2 ldots k m prod t 1 m x t k t.
We can also use a range as the argument of multinomial as in figure 1.
For n independent trials each of which leads to a success for exactly one of k categories with each category having a given fixed success probability the multinomial distribution gives the. P knk where n n 1 n 2. We can also use a range as the argument of multinomial as in figure 1. P n.