Find the indicated probability . The age of professors at a certain university is normally distributed with an average of 45.0 years and a standard deviation of 6.0 years. If 16 professors are chosen...

Find the
indicated probability
.

The age of professors at a certain university is normally distributed with an average of 45.0 years and a standard deviation of 6.0 years.

If 16 professors are chosen at random for a committee, find the probability that theaverage age of those professors is less than 42.0 years.