Many companies use sampling to determine whether a batch should be accepted. A (n, c) sampling plan consists of inspecting n randomly selected items from a batch and accepting the batch if c or fewer sampled items are defective. Suppose a company uses a (100, 5) sampling plan to determine whether a batch of 100,000 chips is acceptable.
a)What is the probability of rejecting a batch that has 3% defectives?
b)What is the probability of accepting a batch that has 9% defectives?