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The GPA of graduating engineering students in the fictitious Kingdom of Statistans approximately normally distributed with...

The GPA of graduating engineering students in the fictitious Kingdom of Statistans approximately normally distributed with a mean of 3.1 and a standard deviation of 0.2. The starting salary in Statistan is decided by the central government to be exactly $35K + $2.5K times the square of the GPA.

(a) What GPAs and salaries do the top 20% of graduating students have?

(b) What are the expected value and standard dev. of the starting salary?

(c) What’s the ranking of a graduating student who has a starting salary of $58K, i.e., what fraction of students have a higher starting salary?

Math   Statistics-And-Probability   
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