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Example 97
Example 97: In 2011, the highest starting salaries for recent college graduates were paid to chemical engineering majors. The average starting salary for chemical engineers in 2011 was $66,886, and the standard deviation was $7,500. The distribution of starting salaries for chemical engineers appears to be normal. Find the following probabilities:
a) Find the probability that one randomly selected chemical engineer receives a starting salary less than $58,000.
b) Find the probability of 36 randomly selected chemical engineers having an average starting salary less than $58,000.