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Suppose that the starting salaries of female math professors have a positively skewed distribution with mean of $56,000 and a standard deviation of $12,000. The starting salaries of male math professors are positively skewed with a mean of $50,000 and a standard deviation of $10,000. A random sample of 50 female math professors and a random sample of 40 male math professors are selected. What is the probability that the sample mean salary of male math professors will not exceed that of the female math professors?

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