Thirty-four percent of U.S. college graduates work in jobs that do not require a college degree. You randomly select 20 U.S. college graduates.

Find the probability that the number working in a job that does not require a college degree is

(a) exactly 7,

(b) at most 6, and

(c) between 5 and 10, inclusive. Identify any unusual events.

determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distribution to find the indicated probabilities.