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

Question

Quizplus · Accepted Answer

The probability of accepting a shipment with a 6% rate of defects is 0.8716. This is because the probability of selecting 0, 1, or 2 defectives from a shipment with a 6% rate of defects is 0.6331, 0.2906, and 0.0746, respectively. The probability of accepting the shipment is the sum of these probabilities, which is 0.8716.

A Company Purchases Shipments of Machine Components and Uses This