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the Salary of the employees at XYZ is normally distributed with a mean of $90,000 and...

the Salary of the employees at XYZ is normally distributed with a mean of $90,000 and a standard deviation of $16,000.

a. What is the probability that an employee chosen at random will have a salary higher than $120,000?

b. What proportion of employees will have a salary of less than $80,000?

c. What is the probability that an employee chosen at random will have a salary between $80,000 and $100,000?

d. What is the cutoff point for the upper 20% of the salaries? In other words, what is the 80th percentile of the salaries?

e. What is the cutoff for the lower 20% of the salaries? In other words, what is the 20th percentile of the salaries? f. What are the cutoffs for the middle 50% of the salaries?

Math   Statistics-And-Probability   
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