Question

A company purchases shipments of machine components and uses this acceptance sampling plan:
Randomly select and test 22 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

this sounds binomial

Answer 2

\[\binom nkp^k(1-p)^{n-k}\]

Answer 3

find P(0) + P(1) + P(2)