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According to the National Association of Colleges and Employers,the 2015 mean starting salary for new college graduates in healthsciences was $51,541. The mean 2015 starting salary for new collegegraduates in business was $53,901. † Assume that starting salariesare normally distributed and that the standard deviation forstarting salaries for new college graduates in health sciences is$11,000. Assume that the standard deviation for starting salariesfor new college graduates in business is $17,000.

(a)

What is the probability that a new college graduate in businesswill earn a starting salary of at least $65,000? (Round your answerto four decimal places.)

(b)

What is the probability that a new college graduate in healthsciences will earn a starting salary of at least $65,000? (Roundyour answer to four decimal places.)

(c)

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

(d)

How much would a new college graduate in business have to earnin dollars in order to have a starting salary higher than 99% ofall starting salaries of new college graduates in the healthsciences? (Round your answer to the nearest whole number.)

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