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 ...

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

Question:

It was found that 80% of seniors at a particular college had accepted a job offer before graduation. For those accepting offers, salary 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?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...