Using python :

Consider the case when the probability of success in a Bernoulli trial is small and the number of trials is large (in practice this means that and ). In that case you can use the Poisson distribution formula to approximate the probability of success in trials, as an alternative to the Binomial formula. The parameter that is needed for the Poisson distribution is obtained from the equation p n 50n 5npn np=

Use the parameter and the Poisson distribution formula to create a plot of the probability distribution function approximating the probability distribution of the random variable = {number of successes in Bernoulli trials}. Xn