# Question

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 a mean of $37,000 and a standard deviation of $4,000.

a. For a random sample of 60 seniors what is the probability that less than 70% have accepted job offers?

b. For a random sample of 6 seniors, what is the probability that less than 70% have accepted job offers?

c. For a random sample of 6 seniors who have accepted job offers, what is the probability that the average salary is more than $38,000?

d. A senior is chosen at random. What is the probability that she has accepted a job offer with a salary of more than $38,000?

a. For a random sample of 60 seniors what is the probability that less than 70% have accepted job offers?

b. For a random sample of 6 seniors, what is the probability that less than 70% have accepted job offers?

c. For a random sample of 6 seniors who have accepted job offers, what is the probability that the average salary is more than $38,000?

d. A senior is chosen at random. What is the probability that she has accepted a job offer with a salary of more than $38,000?

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