It was found that 80% of seniors at a particular college had accepted a job offer before

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It was found that 80% of seniors at a particular college had accepted a job offer before graduation. For those accepting offers, salary distribution was normal with mean $29,000 and standard deviation $4,000.

(a) For a random sample of sixty seniors, what is the probability that less than 70% have accepted job offers?

(b) For a random sample of six seniors, what is the probability that less than 70% have ac- cepted job offers?

(c) For a random sample of six seniors who have accepted job offers, what is the probe- bility that the average salary is more than $30,000?"

(d) A senior is chosen at random. What is the probability that he or she has accepted a job offer with a salary of more than $30,000?

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