solution

We have proved that the binomial tends to the Poisson as p tends to zero and n
tends to infinity. Specifically,

as n increases and p decreases with constant np. Use R to determine, how big
n should be and how small p should be for this approximation to be valid?
Hint: Start with p = 0.1 and n — 10, then start increasing n (n = 20, 30, ■ · · )
until the approximation is valid. Then take a smaller p and repeat the process.
Perhaps your “rule of thumb” might give a minimum value of n and a maximum
value of p..