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According to a National Association of Colleges and Employers, the average starting salary for new college...

According to a National Association of Colleges and Employers, the average starting salary for new college graduates in health sciences is $51,541. The average starting salary for new college graduates in business is $53,901.† Assume that starting salaries are normally distributed and that the standard deviation for starting salaries for new college graduates in health sciences is $13,000. Assume that the standard deviation for starting salaries for new college graduates in business is $17,000

a) What is the probability that a new college graduate in business will earn a starting salary of at least $63,000? (Round your answer to four decimal places.)

b) What is the probability that a new college graduate in health sciences will earn a starting salary of at least $63,000? (Round your answer to four decimal places.)

c) What is the probability that a new college graduate in health sciences will earn a starting salary less than $46,000? (Round your answer to four decimal places.)

d) How much would a new college graduate in business have to earn in dollars in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences? (Round your answer to the nearest whole number.) _______$

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