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 the starting salaries are normally distributed. What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400?  What is the probability that a randomly selected LU graduate will have a salary of exactly $30,400?  Individuals with starting salaries of less than $15600 receive a low-income tax break. What percentage of the graduates will receive the tax break?  If 189 of the recent graduates have salaries of at least $32240, how many students graduated this year from this university?

Question

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 the starting salaries are normally distributed.

  1. What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400? 
  2. What is the probability that a randomly selected LU graduate will have a salary of exactly $30,400? 
  3. Individuals with starting salaries of less than $15600 receive a low-income tax break. What percentage of the graduates will receive the tax break? 
  4. If 189 of the recent graduates have salaries of at least $32240, how many students graduated this year from this university? 

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