The average starting salary of this year's graduates of a large university (LU) is $25,000 with a standard deviation of $5,000. 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 $31,000?
b.Individuals with starting salaries of less than $12,200 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 68 of the recent graduates have salaries of at least $35,600, how many students graduated this year from this university?

Question

Quizplus · Accepted Answer

The Answer of The average starting salary of this year's graduates of a large university (LU) is $25,000 with a standard deviation of $5,000. 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 $31,000?
b.Individuals with starting salaries of less than $12,200 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 68 of the recent graduates have salaries of at least $35,600, how many students graduated this year from this university?

The Average Starting Salary of This Year's Graduates of a Large