Question

A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 30 components and accept the whole batch if there are fewer than 3 defectives. If a particular shipment of thousands of components actually has a 7% rate of defects, what is the probability that this whole shipment will be accepted?

Answer 1

probability of defect = 0.07 (7%)
so multiply this probability by the number of components given (30) : 0.07*30 = 2.1 which is less than 3 defectives,
now the probability of being accepted would be 100% i suppose since 2.1 is indeed less than 3
I'm not exactly sure as it seems to be a really weird answer, so just wait for a secondary response from someone else as well :P