QuestionThe 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 selected LU graduate will have a salary of exactly $30,400? 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? d. If 189 of the recent graduates have salaries of at least $32240, how many students graduated this year from this university?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 selected LU graduate will have a salary of exactly $30,400?

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?

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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