A random sample of size n = 5 is taken from a batch of size N = 50, and the batch is accepted if the number of defective items found is no larger than c = 2. Use the hypergeometric distribution to calculate each exact value.
(a) The producer's risk for an acceptable quality level of p0 = 0.06
(b) The consumer's risk if the proportion of defective items is p1 = 0.20
Recompute these risks using the binomial approximation to the distribution of the number of defective items found in the sample.