​Exponential Distribution

The exponential distribution is the time taken for an event to cover or the time between the events occurring. In simple words, you can say that it is the inverse of the Poisson distribution. Exponential distribution explains the time in which the probability of events elapsing is maximum.


Formula of ​Exponential Distribution Calculator

If you are focused on finding the probability of the time to check if it is greater or less than x, you will use the following formula to get the answer:

P(x>X) = exp(-a*x) P(x≤X) = 1 - exp(-a*x)


P(x>X) = probability of x is greater than the indicated or expected value

P(x≤X) = indication that the value of x is less than or equal to the expected value

a = rate parameter of the distribution. You can say it the reciprocal of the Poisson distribution calculator.


To know about geometric distribution, you can use our Geometric Distribution Calculator.


We have a common example of exponential distribution in our daily lives. Some of them are as follows:

  • The time-lapse between the bating of a cricket match

  • The total time difference in the occurrence of accidents on the motorway

  • The time between two buses arriving at the same bus stop

  • The time difference in the next cycle of a washing machine

  • The time is taken in arriving the consecutive buyers to the cash counter In short, it is the time between the same events happening in our daily routines.

How to use ​Exponential Distribution Calculator?

The steps to use ​the exponential distribution calculator are as follows:

Step 1: Enter the value of the rate parameter in the first required input.

Step 2: Enter the value of time between events in the second required input.

Step 3: The calculator will automatically display an answer on the screen.

Calculator use

The exponential distribution calculator will allow you to get rid of long and complicated calculations. You can simply put the observed values to get an idea of whether the results are following your expectations or not. With the use of a calculator, you can deal with the time estimation of the happening events. You can also modify the time series according to your will after the estimation.