Question: Samples of size 20 are drawn from lots of 100 items, and the lots are rejected if the number of defectives in the sample exceeds 2. If the true proportion of defectives in the lot is 5 percent, determine the probability that a lot is accepted using
a. The exact hyper geometric distribution.
b. The binomial approximation to the hyper geometric.
c. The Poisson approximation to the binomial.
d. The normal approximation to the binomial.