(a) Check whether the binomial approximation is acceptable in each of the following hypergeometric situations. (b) Find the binomial approximation (using Appendix A) for each probability requested. (c) Check the accuracy of your approximation by using Excel to find the actual hypergeometric probability.

a. N = 100, n = 3, s = 40, P(X = 3)

b. N = 200, n = 10, s = 60, P(X = 2)

c. N = 160, n = 12, s = 16, P(X = 1)

d. N = 500, n = 7, s = 3=0, P(X = 5)