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A random variable X has a Poisson distribution, and is referred to as a Poisson random variable, if and only if its probability distribution is;
P(x, k) = e-k * kx / x! For x = 0, 1, 2, ..., infinity
e = exponential constant
k= mean
The probability of success is very small in a Poisson distribution that is p < 0.10. The sample size is very large in Poisson distribution. In Poisson process, the parameter 'k' is the expected number of successes in a specified unit of time or length of space. The number of occurrence X in a given interval of time 't' is called a Poisson random variable with parameter k=Population mean * t.
P(x, k) = e-k * kx / x! For x = 0, 1, 2, ..., infinity
e = exponential constant
k= mean
The probability of success is very small in a Poisson distribution that is p < 0.10. The sample size is very large in Poisson distribution. In Poisson process, the parameter 'k' is the expected number of successes in a specified unit of time or length of space. The number of occurrence X in a given interval of time 't' is called a Poisson random variable with parameter k=Population mean * t.
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