# Interpret the key results for Probability Distributions

Select the probability function that you want to interpret.

## Probability density function (PDF)

The probability density function helps identify regions of higher and lower probabilities for values of a random variable.

For a continuous distribution, Minitab calculates the probability density values.
For a discrete distribution, Minitab calculates the probability values. These values are also known as the probability mass function (PMF).

## Cumulative distribution function (CDF)

The cumulative distribution function (CDF) calculates the cumulative probability for a given x-value. Use the CDF to determine the probability that a data value is less than or equal to a certain value, higher than a certain value, or between two values.

For a continuous distribution, Minitab calculates the area under the probability density function, up to an x-value that you specify.

For a discrete distribution, Minitab calculates the cumulative probability values for the x-values that you specify.

## Inverse cumulative distribution function (ICDF)

The inverse cumulative distribution function (ICDF) provides the x-value for a specific cumulative probability.

For a continuous distribution, Minitab calculates the x-values for each cumulative probability that you specify.

For a discrete distribution, an exact x-value for the cumulative probability that you specify might not exist. Therefore, Minitab displays exact integer values for the cumulative probabilities that are closest to the cumulative probability that you specify.

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