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5. The average starting salary for this year's graduates at a large university (LU) is $20,000...

5. The average starting salary for this year's graduates at a large university (LU) is $20,000 with a standard deviation of $8,000 Furthermore, it is known that starting salaries are normally distributed.

a. What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400?

b.What is the probability that a randomly that a randomly selected LU graduate will have a salary of exactly $30,400?

c.Individual with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?

d. If 189 of the recent graduates have salaries of at least $32240, How many students graduates this year from this university?

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