3. A shipment contains 60 items of 1which 12 are defective. A sample of 16 items from the shipment is se lected at random without replacement. We accept the shipment if at most 3 items in the sample are defective. {a} What are the possible values for the number of defective items in the sample? Explain. {b} Write out {but do not evaluate] an exact, computable expression for the probability of acceptance {put numbers in a formula}. {c} Suppose instead that the shipment contains 500 items of which 100 are defective. We still sample 15 items at random without replacement and accept the shipment if at most 3 items in the sample are defective. Use instead a Table to give the binomial approximation of the probability of ameptance. Show your work