The average starting salary of this year's graduates of a large university (LU) is $20,000 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 LU graduate 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 LU graduates?
d. If 189 of the recent graduates have salaries of at least $32,240, how many students graduated this year from this university?
a. .0968
b. 29.12%
c. $4,320, $35,680
d. 3,000
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