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Poisson Distribution PMF Calculator

Calculates the Poisson distribution probability mass function.


Formula: poisson(fcK, fcLam, 0)

See the Statistical Distributions Overview page for more statistical distribution calculators.

Example 1

For a Poisson distribution with a mean of 4, calculate the probability of P(X = 8)

Value Keystrokes Display Description
4.0 λ 4.0 Stores the λ value.
8 k 8.0 Stores the k value.
  pmf 0.02977 Calculates the pmf.

Example 2

Given that the number of customers arriving per hour at a business is a Poisson distribution, if the probability of 0 arriving is 0.02, what is the mean?

Value Keystrokes Display Description
.02 pmf 0.02 Stores the pmf value.
0 k 0.0 Stores the k value.
  λ 3.912 Calculates the mean.


Poisson distribution - Wikipedia