Comparing Approximations to the Binomial Distribution

If n is large and p is small the Poisson approximation can be used.

If n is large, np > 5 and n(1-p) > 5 a normal approximation can be used.

Enter values for n, p, x_{1}, x_{2} and x_{3}.

The program will provide probabilities: P(X ≤ x_{1}), P(X ≤ x_{2}) and P(X ≤ x_{3}) calculated using the binomial distribution and the poisson and normal approximations.