Professors at a local university earn an average salary of $80,000 with a standard deviation of $6,000. the salary distribution cannot be regarded as bell-shaped. what can be said about the percentage of salaries that are less than $68,000 or more than $92,000?

a. it is at least 75 percent.
b. it is at least 55 percent.
c. it is at least 25 percent.
d. it is at most 25 percent.

d. It is at most 25 percent.

Step-by-step explanation:

According to Chebyshev's inequality, for a given number of standard deviations, k, no more than 1/k² can be more than k standard deviations from the mean. In this situation the amount of standard deviations from the mean of the upper and lower bound of salaries are:

For k = 2, applying Chebyshev's inequality:

Therefore, at most 25% of the salaries are less than $68,000 or more than $92,000.

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