The Salaries of the Employees of a Corporation Are Normally

question 129

Essay

The salaries of the employees of a corporation are normally distributed with a mean of $25,000 and a standard deviation of $5,000.
a.What is the probability that a randomly selected employee will have a starting salary of at least $31,000?
b.What percentage of employees has salaries of less than $12,200?
c.What are the minimum and the maximum salaries of the middle 95% of the employees?
d.If sixty-eight of the employees have incomes of at least $35,600, how many individuals are employed in the corporation?

---

Definitions:

Sample Variances

Sample variances measure the dispersion or spread of data points in a sample around their sample mean, indicating the degree of variation within the sample.

Expected Value

The long-run average value of repetitions of the experiment it represents, known in statistics as the mean of the probability distribution.

Sample Means

Sample Means are the averages calculated from a sample, used as estimates of the population mean.

Normally Distributed

A statistical distribution where data is symmetrically distributed around the mean, forming a bell-shaped curve.