Refer to the previous exercise, in which the manufacturer will return the entire shipment if more than 5% defective chips are found in the sample.
a. Find the probability that the shipment will be returned if the manufacturer decides to test only 380 randomly selected chips (instead of 500).
b. Suppose that despite the claim by the supplier, the shipment actually contains 6% defective chips. Find the probability that the shipment will be returned if the manufacturer randomly samples 380 chips from the shipment.

Previous exercise

A supplier of electronic chips for tablets claims that only 4% of his chips are defective. A manufacturer tests 500 randomly selected chips from a large shipment from the supplier for potential defects.