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The dean has observed for several years and found that the probability distribution of the salary of the alumni's first job after graduation is normal,

The dean has observed for several years and found that the probability distribution of the salary of the alumni's first job after graduation is normal, with a mean of $60k per year and a standard deviation of $4k.

 

(a)  What's the probability that the alumni get a salary of $64k or more in their first jobs? 


(b) What's the chance that the alumni get a salary between $52k and $68k?


(c)  What is the salary range that 99.7% of the alumni should be belonged to?

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