# Statistics - Standard Deviation

The amount of time the university professors devote to their jobs per week is normally distributed with a mean of 52 hours and a standard deviation of 6 hours.

a) What is the probability that a professor works for more than 60 hours per week?

b) Find the probability that the mean amount of work per week for three randomly selected professors is more than 60 hours.

c) Find the probability that if three professors are randomly selected, all three work for more than 60 hours per week.

https://brainmass.com/statistics/dispersion-and-spread-of-data/probability-professors-devote-jobs-196153

#### Solution Preview

We are different only with the 4 th decimal place in Qs (a) and (b). Therefore it is alright. And the last answer is just ...

#### Solution Summary

A step-by-step solution is provided to determine the probability of the amount of time professors devote to their jobs for more than 60 hours peerk week.