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In this distributions occurs when there is a probability of more than two outcomes with multiple counts1 pointbernoullibinomialmultinomial

Question

In this distributions occurs when there is a probability of more than two outcomes with multiple counts

  • 1 point
  • bernoulli
  • binomial
  • multinomial
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Solution

The distribution that occurs when there is a probability of more than two outcomes with multiple counts is the Multinomial distribution.

Here are the steps to understand why:

  1. Bernoulli Distribution: This is the simplest case of Binomial Distribution where a single trial is conducted (n=1). It has only two possible outcomes, success (1) and failure (0).

  2. Binomial Distribution: This is a probability distribution that describes the number of successes in a fixed number of independent Bernoulli trials with the same probability of success. It has two possible outcomes, success or failure.

  3. Multinomial Distribution: This is a generalization of the binomial distribution. It describes outcomes of multi-nomial scenarios unlike Bernoulli and Binomial where scenarios must be only binary (success or failure). In other words, it models the probability of counts of each type in a collection of items. This is the distribution you would use when there are more than two possible outcomes.

So, in your case, where there is a probability of more than two outcomes with multiple counts, the Multinomial distribution is the correct answer.

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