Question

In what case would the  Poisson distribution be a good approximation of the binomial?​

Answer 1

Answer:

The approximation works very well for n values as low as n = 100, and p values as high as 0.02. The figure below plots these two distributions together and shows how closely the Binomial distribution is approximated by the Poisson distribution in such limiting cases.

Answer 2

In what case would the  Poisson distribution be a good approximation of the binomial?​

• At the point when the worth of n in a binomial circulation is huge and the worth of p is tiny, the binomial dispersion can be approximated by a Poisson conveyance.
• In the event that n > 20 and np < 5 OR nq < 5, the Poisson is a decent estimation.
• Poissons circulation is a discrete likelihood dispersion that communicates the likelihood of a given number of occasions happening in a decent time period or space if these.