A shipment of 100 pins contains some defectives. To decide whether to accept the shipment, the consumer follows a sampling plan where 15 items are cho- sen at random from the sample and tested. If the number of defectives in the sample is at most one, the shipment is accepted. (The number 1 is known as the acceptance number of the sampling plan.)

a. Assuming that the shipment includes 5% defectives, what is the probability that the shipment will be accepted? (Hint: Use the hypergeometric distribution.)

b. Assuming that the shipment includes 8% defectives, what is the probability that the shipment will be accepted?

c. Using the Data|Table command, tabulate the probability of acceptance for defective percentage ranging from 0% to 15% in steps of 1%.

d. Plot a line graph of the table created in part (c ) above. (This graph is known as the operating characteristic curve of the sampling plan.)