Question

The annual salaries at a particular company are approximately normally distributed with a mean of $100,000 and a standard deviation of $15,000. Find the proportion of employees that earn

Answer 1

To find the proportion of employees that earn a certain salary, use the z-score formula and the standard normal distribution table.

Step-by-step explanation:

To find the proportion of employees that earn a certain salary, we need to use the z-score formula and the standard normal distribution table. The z-score formula is given by (x - mean) / standard deviation, where x is the value we want to find the proportion for. For example, to find the proportion of employees that earn less than $90,000, we plug in x = $90,000, mean = $100,000, and standard deviation = $15,000 into the formula. Then we look up the corresponding z-score in the standard normal distribution table, and find the proportion associated with that z-score.