Probability Mass Function

In probability theory and statistics, a probability mass function (PMF) is a function that gives the probability that a discrete random variable is exactly equal to some value. It maps the possible values of the random variable to their corresponding probabilities. The PMF is often denoted by f(x), where x is the value of the random variable. The sum of the probabilities for all possible values of the random variable must equal 1. The PMF can be used to calculate various statistical measures such as expected value, variance, and skewness.
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