A Company Purchases Shipments of Machine Components and Uses This

Multiple Choice

A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 21 components and accept the whole batch if there are fewer than 3 defectives. If a particular shipment of thousands of components actually has a 6% rate of defects, what is the probability that this whole shipment will be accepted?

A) 0.8716
B) 0.0943
C) 0.2333
D) 0.5989