(Answered) Application of the normal distributionprofessional salaries

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Application of the Normal Distribution:

Professional salaries: The average annual professor's salary at a doctoral level at a private, independent institution is $159,964 for men and $147,702 for women. Consider the women's salaries. Assume that they are normally distributed with a standard deviation of $8,900. What is the probability that a woman professor makes more than the men's average salary?

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