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.
a. Find the mean and standard deviation for the distribution of the sample proportion of defective chips in the sample of 500.
b. Is it reasonable to assume a normal shape for the sampling distribution? Explain.
c. The manufacturer will return the entire shipment if he finds more than 5% of the 500 sampled chips to be defective. Find the probability that the shipment will be returned.