EXPONDIST function

This article describes the formula syntax and usage of the EXPONDIST function in Microsoft Excel.

Returns the exponential distribution. Use EXPONDIST to model the time between events, such as how long an automated bank teller takes to deliver cash. For example, you can use EXPONDIST to determine the probability that the process takes at most 1 minute.

  This function has been replaced with one or more new functions that may provide improved accuracy and whose names better reflect their usage. Although this function is still available for backward compatibility, you should consider using the new functions from now on, because this function may not be available in future versions of Excel.

For more information about the new function, see EXPON.DIST function.

Syntax

EXPONDIST(x,lambda,cumulative)

The EXPONDIST function syntax has the following arguments:

  • X     Required. The value of the function.

  • Lambda     Required. The parameter value.

  • Cumulative     Required. A logical value that indicates which form of the exponential function to provide. If cumulative is TRUE, EXPONDIST returns the cumulative distribution function; if FALSE, it returns the probability density function.

Remarks

  • If x or lambda is nonnumeric, EXPONDIST returns the #VALUE! error value.

  • If x < 0, EXPONDIST returns the #NUM! error value.

  • If lambda ≤ 0, EXPONDIST returns the #NUM! error value.

  • The equation for the probability density function is:

    Equation

  • The equation for the cumulative distribution function is:

    Equation

Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

Data

Description

0.2

Value of the function

10

Parameter value

Formula

Description

Result

=EXPONDIST(A2,A3,TRUE)

Cumulative exponential distribution function

0.86466472

=EXPONDIST(0.2,10,FALSE)

Probability exponential distribution function

1.35335283

Applies To: Excel 2010, Excel Starter, Excel 2013, Excel Online, Excel 2016 for Mac, Excel for Mac 2011, Excel 2007



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