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