Multinomial Distribution Vs Binomial Distribution. Suppose p x 1 θ. Binomial vs normal distribution probability distributions of random variables play an important role in the field of statistics.
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 will use a binomial distribution. The variable of interest is the number of trials required to.
There is a fixed number n of observations.
For fixed values of the mean and size n the variance is maximal when all success probabilities are equal and we have a binomial distribution. Out of those probability distributions binomial distribution and normal distribution are two of the most commonly occurring ones in the real life. The probability of success is the same for each observation. Suppose p x 1 θ.
