A shipment of 10 items has two defective and eight non-defective units. In the inspection of the shipment, a sample of units will be selected and tested. If a defective unit is found, the shipment of 10 units will be rejected.
a) If a sample of three items is selected, what is the probability that the shipment will be rejected?
b)If a sample of four items is selected, what is the probability that the shipment will be rejected?
c) If a sample of five items is selected, what is the probability that the shipment will be rejected?
d) If management would like a 0.90 probability of rejecting a shipment with two defective and eight non-defective units, how large a sample would you recommend?