Poisson Distribution Calculator
Definition
The Poisson distribution, the discrete probability function, is used to estimate the extent to which propagation occurs with a known average rate. When an experimental situation occurs, a large number of possible events occur, and the Poisson distribution specifies the probability of a given data set or the number of fixed-time events. It is an asymmetrical function and is applied in conjunction with hypergeometric distribution, binomial distribution and exponential distribution.
Poisson distribution, where k = 0, 1, 2, ..., n can be calculated from the following formula
\(f((k;λ)= \frac {λ^ke^{-λ}}{k!}\)
Where?
e is the cardinality of the natural logarithm equal to 2.71828..
k is the number of events that occur; the probability is given by the given function
K is the factorial of k
λ is a positive real number equal to the expected number of occurrences within a given time interval. For example, if an event occurs on average 3 times per minute, and one is a probability event that wants to occur k times at a 10-minute interval, one would use the Poisson distribution model λ=10×3=30.
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