The sample mean of the annual salaries of a group of 100, Basic Statistics

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The sample mean of the annual salaries of a group of 100

The sample mean of the annual salaries of a group of 100 accountants who work at a large accounting firm is $130,000 with a sample standard deviation of $20,000.

If a member of this group is randomly chosen, what can we say about

(a) the probability that his or her salary is between $90,000 and $170,000?

(b) the probability that his or her salary exceeds $150,000?

Hint: Use the Chebyshev inequality.

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