Poisson Formula
Binomial Distribution has a mean of n*p(X) or 0.015 * 430 or 6.45
We are looking for P(x, mean). In this case P( 3 , 6,45)
Poisson Formula. Suppose we conduct a Poisson experiment, in which the average number of successes within a given region is the mean.
Then, the Poisson probability is:
P(x ; mean) = (e^-mean) (mean^x)/ x!
where x is the actual number of successes that result from the experiment, and e is approximately equal to 2.71828
P( 3 ) = ( e^-6.45 * 6.45^3) / (3 * 2 * 1 ) = 0.0707