From the course: Machine Learning Foundations: Statistics

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The Multinoulli distribution

The Multinoulli distribution

- [Instructor] Imagine your country's having a presidential election next year. The company workforce has conducted a survey with the following results: 35% of the eligible voters prefer candidate A, 25% of the voters prefer candidate B and 40% of the voters have no preference. You randomly sample 100 eligible voters and want to know the probability that 35 will like candidate A, 25 will choose candidate B and 40 will have no preference. This real life scenario is the illustration of the distribution called multinoulii distribution. The multinoulii distribution is a generalization of the binomial distribution with more than two possible outcomes. Another name for it is a categorical distribution and we use it to model events with K possible outcomes. So binomial distribution has just two possible outcomes and multinoulii distribution has K possible outcomes. It has the following characteristics: the experiment consists of…

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