1. A city commissioner claims that 80% of people living in city favor garbage collection by contract to the private company over collection by city employees. To test the commissioner's claim, 25 city residents are randomly chosen, yielding 22 who prefer contracting to private company.
A. If the commissioner's claim is correct, determine the probability that sample would contain at least 22 who prefer contracting to private company?
B. If the commissioner's claim is correct, determine the probability that exactly 22 would prefer contracting to a private company?