Question: The quality assurance officer at a small manufacturing plant is performing acceptance sampling on lots of western-style widget being produced. Each lot contains 24 western-style widgets. If a sample of 6 widgets is inspected, all must be defect-free in order for the lot to pass inspection.

a) What is the chance a lot is accepted, or passed inspection, even if it contains exactly 1 defective western-style widget?

b) What is the likelihood a lot is rejected, or failed inspection, even if it contains only 1 defective western-style widget?

c) What is the chance a lot is accepted, or passed inspection, even if it contains exactly four defective western-style widgets?