EXPONDIST Function

Excel 2016, Excel 2019, Excel 2021, Excel 2021 for Mac, Excel 2024, Excel 2024 for Mac, Excel for Microsoft 365, Excel for Microsoft 365 for Mac, Excel for the web

Summary

The EXPONDIST function calculates the exponential distribution, commonly used to model time between events in processes like service times or failure rates. It provides both probability density and cumulative distribution values for statistical analysis.

Syntax

EXPONDIST(x, lambda, cumulative)

Parameters

Parameter Type Required Description
x Number Yes Value to evaluate (time or distance between events, x ≥ 0)
lambda Number Yes Rate parameter (events per unit time, λ > 0)
cumulative Boolean Yes TRUE returns CDF, FALSE returns PDF

Using the EXPONDIST Function

EXPONDIST is perfect for modeling random arrival times, service completion times, or equipment failure intervals. Use it to calculate probabilities that a process completes within a certain time frame or the likelihood density at specific points.

Common EXPONDIST Examples

Cumulative Distribution (Process Time Analysis)

=EXPONDIST(0.2,10,TRUE)

Probability that a bank teller transaction takes 0.2 minutes or less (86.47%)

Probability Density Function

=EXPONDIST(0.2,10,FALSE)

Density value at 0.2 minutes with rate 10 (1.353)

Service Level Calculation

=EXPONDIST(B2,C2,TRUE)

In cell D2: Probability service completes within time in B2 at rate in C2

Frequently Asked Questions

Time between events in a Poisson process (waiting times, inter-arrival times)

Use EXPON.DIST for new work - it's more accurate. EXPONDIST remains for compatibility.

Returns #NUM! error. x must be zero or positive.

Common Errors and Solutions

#NUM! error

Cause: x < 0 or lambda ≤ 0

Solution: Ensure x ≥ 0 and lambda > 0

#VALUE! error

Cause: Non-numeric x or lambda

Solution: Use valid numbers for both parameters

Notes

  • **Deprecated**: Microsoft recommends EXPON.DIST for improved accuracy
  • Models memoryless processes where event probability doesn't depend on time elapsed
  • PDF formula: λe^(-λx)
  • CDF formula: 1-e^(-λx)
  • Available in Excel 2016+ for backward compatibility

Compatibility

Available in: Excel 2016, Excel 2019, Excel 2021, Excel 2021 for Mac, Excel 2024, Excel 2024 for Mac, Excel for Microsoft 365, Excel for Microsoft 365 for Mac, Excel for the web

Not available in: Excel 2013 and earlier

Content last reviewed: December 8, 2025
Update frequency: As needed
Excel versions tested: Excel 2016, Excel 2019, Excel 2021, Excel 2021 for Mac, Excel 2024, Excel 2024 for Mac, Excel for Microsoft 365, Excel for Microsoft 365 for Mac, Excel for the web