Multinomial Distribution Calculator

Calculate probabilities for a multinomial distribution.

Frequently Asked Questions (FAQs):

1. What is a multinomial distribution, and why is it important?
   • A multinomial distribution is used to model the probabilities of multiple outcomes in categorical data. It's essential in statistics when dealing with scenarios involving more than two possible outcomes.
2. What is the formula for calculating multinomial distribution probabilities?
   • The formula for calculating the probability of observing specific counts x₁, x₂, ..., xₖ in a multinomial distribution, given probabilities p₁, p₂, ..., pₖ, is:
   
   • Where n is the total number of trials, xᵢ represents the count of outcomes in category i, and pᵢ is the probability of outcome in category i.
3. How do I interpret multinomial distribution probabilities?
   • Multinomial distribution probabilities provide the likelihood of observing specific outcomes in a categorical scenario. They help quantify the relative frequencies of different outcomes when dealing with multiple categories.