Question

Varience of a Poisson distribution

Answer 1

Answer:

Mean and Variance of Poisson distribution:

If μ is the average number of successes occurring in a given time interval or region in the Poisson distribution. Then the mean and the variance of the Poisson distribution are both equal to μ. Thus, E(X) = μ

Answer 2

In Poisson distribution, the mean of the distribution is represented by λ and e is constant, which is approximately equal to 2.71828. Then, the Poisson probability is:

P(x, λ ) =(e– λ λx)/x! In Poisson distribution, the mean is represented as E(X) = λ.