*Cumulative Poisson Distribution Calculator* is an online probability and statistics tool for data analysis programmed to estimate the distribution of random variable within a certain range. An average rate of success and the probability random variable are used here as the input values of this calculator

### Definition

Cumulative Poisson Distribution is defined as the measure of the probability in which the average number of success estimated within a range of experiments. When it comes to online calculation, this cumulative Poisson distribution calculator can assist you to find out getting the probability of success. Where **λ**, Lambda is an Average of Success and X is the Poisson random variable

### Formula

Cumulative Poisson Distribution with the instances of k = 0, 1, 2, .., n can be calculated from the formula

where

**e** is the base of the natural logarithm equal to 2.71828

**k** is the number of occurrences of an event; the probability of which is given by the function

**k!** is the factorial of k

**λ** is a positive real number, equal to the expected number of occurrences during the given interval

The collection of tools employs the study of methods and procedures used for gathering, organizing, and analyzing data to understand theory of Probability and Statistics. The set of ideas which is intended to offer the way for making scientific implication from such resulting summarized data. In many applications it is necessary to calculate the probability of average number of success, where this Cumulative Poisson Distribution calculator can assist you to effortlessly make your calculations for given data