Normal Approximation to the Binomial

SOLVED:(a) For n=100, p=0.02, and r=2, compute P(r) using the formula for the binomial distribution and your calculator: P(r)=Cn, p^'(1-p)^n-r (b) For n=100, p=0.02, and r=2, estimate P(r) using the Poisson approximation to the binomial. (c) Compare the results of parts (a) and (b). Does it appear that the Poisson distribution with λ=n p provides a good approximation for P(r=2) ? (d) Repeat parts (a) to (c) for r=3

To use a normal approximation to the binomial, which of the following does not have to be true? (a) n p ≥10, n(1-p) ≥10( or: n p ≥5, n(1-p) ≥5). (b) The individual trials must be independent. (c) The sample size in the problem must be too large to permit doing the problem on a calculator. (d) For the binomial, the population size must be at least 10 times as large as the sample size. (e) All of the above are true. | Numerade