Normal Approximation to the Binomial

As mentioned in Section 4.5, when n is large, p is small, and n p ≤7, the Poisson probability distribution provides a good approximation to the binomial probability distribution. Since we provide exact binomial probabilities (Table II in Appendix A) for relatively small values of n, you can investigate the adequacy of the approximation for n=25. Use Table II to find p(0), p(1), and p(2) for n=25 and p=.05 . Calculate the corresponding Poisson approximations, using λ=μ=n p .[ Note: These approxim