At a local company, the ages of all new employees hired during the last 10 years are normally distributed. the mean age is 38 years old, with a standard deviation of 10 years. find the percent of new employees that are no more than 30 years old. round to the nearest percent.

P = 21%

Step-by-step explanation:

We look for the percentage of employees who are not more than 30 years old.

This is:

Where x is the number of new employees who are not over 30 years old and n is the total number of new employees.

We do not know the value of x or n. However, the probability of randomly selecting an employee that is not more than 30 years old is equal to

Then we can solve this problem by looking for the probability that a new employee is not more than 30 years old.

This is:

Then we find the z-score

We know that:

μ = 38 years

years

So

Then

By symmetry of the distribution

Looking in the normal standard tables

Finally P = 21%

step-by-step explanation:

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign