# Math Help - Binomial and Poisson Distribution.

1. ## Binomial and Poisson Distribution.

Hi, I understand both the poisson distribution and binomial distribution relatively well. However, the way I see it, for any question requiring the use of a poisson distribution, it makes sense that a binomial distribution could be used. For example:
"A hockey team has a shut out at a rate of 1 of every 20 games. calculate the probability of having 2 shutouts in the next 10 games."

The reason I believe binomial applies is: the probability of success is 0.05%, the number of trials is 10, and the desired number of shutouts is 2.

2. Hello !

Actually, the binomial distribution can be approximated into a Poisson distribution if :
n>30 and p<0.1 and npq<10

the new $\lambda$ will be np.

Basically, I think it is easier to compute values of a Poisson distribution than a binomial distribution.