Probability Mass Function - Examples

Examples

Suppose that S is the sample space of all outcomes of a single toss of a fair coin, and X is the random variable defined on S assigning 0 to "tails" and 1 to "heads". Since the coin is fair, the probability mass function is

This is a special case of the binomial distribution.

An example of a multivariate discrete distribution, and of its pmf, is provided by the multinomial distribution.

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