1.67 = e^-a (1/1-a)Poisson distribution is a statistical distribution that is used to model the probability of a certain number of events occurring in a fixed time or space, given the average rate of occurrence.
Poisson distribution differs from other distributions in that it is used for discrete events, while other distributions like the normal distribution are used for continuous events.
To calculate the probability using Poisson distribution, you need to know the average rate of occurrence (λ) and the number of events you are interested in (k). The formula is P(k;λ) = (e^-λ * λ^k) / k!, where e is the base of the natural logarithm.
The mean of a Poisson distribution is equal to the average rate of occurrence (λ). The variance is also equal to λ, which means that the standard deviation is the square root of λ.
Poisson distribution is commonly used in various fields, including finance, biology, and physics. It can be used to model the number of customer arrivals in a certain time period, the number of accidents in a city, or the number of particles emitted by a radioactive substance.