The following article introduces you to the EXPON.DIST function - one of the functions in the statistical function group is very popular in Excel.
Description: The function returns an exponential distribution, using this function to model the time at which events occur.
Syntax: EXPON.DIST (x, lambda, cumulative)
Inside:
- x: The value of the function, is a required parameter.
- lambda: The parameter value, is a required parameter.
- cumulative: Logical value determines the exponential type, is a required parameter, including the following values:
+ Cumulative = True -> Returns the cumulative distribution function.
+ Cumulative = False -> Returns the probability density function
Attention:
- If x or lambda are not numeric -> the function returns the #VALUE! Error value
- If x <0 or lambda ≤ 0 -> the function returns the #NUM! Error value
- The equation for the cumulative distribution function is:
[fleft ({x; lambda} right) = lambda {e ^ {- lambda x}}]
- The equation for the probability density function is:
[Fleft ({x; lambda} right) = 1 - {e ^ {- lambda x}}]
For example:
Calculate the value of the cumulative distribution function and the probability density function according to the data in the following data table:
- Calculate the value of cumulative distribution function. In the cell to calculate enter the formula : = EXPON.DIST (D6, D7, D8)
- Press Enter -> cumulative distribution function value is:
- Calculate the value of probability density function. In the cell to calculate enter the formula : = EXPON.DIST (D6, D7, D9)
- Press Enter -> the probability density function value is:
Above are instructions and some specific examples when using the EXPON.DIST function in Excel.
Good luck!