This function returns the exponential distribution or the probability density.
Syntax
EXPON.DIST(value,lambda,cumulative)
Arguments
This function has these arguments:
| Argument | Description |
|---|---|
| value | Value of the function; must be positive or zero |
| lambda | Parameter value; must be greater than zero |
| cumulative | Logical value indicating whether to return the cumulative distribution; set to TRUE to return the cumulative distribution; set to FALSE to return the probability density |
Remarks
Use this function to model the time between events, such as how long an automated bank teller takes to deliver cash. For example, you can use this function to determine the probability that the process takes at most one minute.
The cumulative distribution is calculated as follows:
where x is the value argument, lambda is the lambda argument.
The probability density is calculated as follows:
where x is the value argument, lambda is the lambda argument.
Data Types
Accepts numeric data, except the third argument, which accepts logical data. Returns numeric data.
Examples
EXPON.DIST(C12,10,TRUE)
EXPON.DIST(R12C3,8,FALSE)
EXPON.DIST(0.2,10,TRUE) gives the result 0.8646647167633873