At a local company, the ages of all new employees hired during the last 10 years are normally distributed. the mean age is 34 years old, with a standard deviation of 10 years. find the percent of new employees that are no more than 40 years old. round to the nearest percent.

P = 73%

Step-by-step explanation:

We look for the percentage of employees who are not more than 40 years old.

This is:

Where x is the number of new employees who are not over 40 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 40 years old is equal to

Then we can solve this problem by looking for the probability that a new employee selected at random is not more than 40 years old.

This is:

Then we find the z-score

We know that:

μ = 34 years

years

So

Then

So we have

Looking in the normal standard tables:

Finally P = 73%