Assignment:
Batteries produced by a company are known to be defective with a probability of 0.02. The company sells batteries in packages of eight and offers a money-back guarantee that at most one of them is defective. What is the probability that a package is returned? If a customer buys three packages, what is the probability that exactly one of them will be returned?
Provide complete and step by step solution for the question and show calculations and use formulas.