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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

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Q: What is the difference between a probability mass function and a probability density function?
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What is the difference between a probability density curve and cummulative distribution function?

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Difference between a random variable and a probability distribution is?

A random variable is a variable that can take different values according to a process, at least part of which is random.For a discrete random variable (RV), a probability distribution is a function that assigns, to each value of the RV, the probability that the RV takes that value.The probability of a continuous RV taking any specificvalue is always 0 and the distribution is a density function such that the probability of the RV taking a value between x and y is the area under the distribution function between x and y.


What pdf stands for in statistics?

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