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The question seems to be misguided since all probability mass functions are function!

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βˆ™ 10y ago
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βˆ™ 1y ago

A function cannot be a probability mass function (PMF) if it violates the properties of a PMF. A PMF must assign a non-negative probability to each possible outcome of a discrete random variable, and the sum of probabilities for all possible outcomes must be equal to 1. If a function does not satisfy these properties, it cannot be considered a PMF.

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Q: Why can a function not be a probability mass function?
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What is probability mass function?

It is a function which is usually used with continuous distributions, to give the probability associated with different values of the variable.


What is the difference between a probability mass function and a probability density function?

The probability mass function is used to characterize the distribution of discrete random variables, while the probability density function is used to characterize the distribution of absolutely continuous random variables. You might want to read more about this at www.statlect.com/prbdst1.htm (see the link below or on the right)


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