(Solved): If 65 percent of the population of a large community is in favor of a proposed rise in school taxes, ...

If 65 percent of the population of a large community is in favor of a proposed rise in school taxes, approximate the probability that a random sample of 100 people will contain a. at least 50 who are in favor of the proposition; b. between 60 and 70 inclusive who are in favor; c. fewer than 75 in favor.