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The average starting salary for this year's graduates of a large community college is $30,000 with a standard deviation of $8,000. Furthermore, it is known that the starting salaries are normally distributed.
a.What is the probability that a randomly selected graduate of this community college will have a starting salary of at least $30,400?
b.Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?
c.What are the minimum and the maximum starting salaries of the middle 95% of the graduates?
d.If 303 of the recent graduates have salaries of at least $43,120, how many students graduated this year from this community college?
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