Ages of Proofreaders At a large publishing company, the mean age of proofreaders is 36.2 years and the standard deviation is 3.7 years. Assume the variable is normally distributed. Round intermediate...

Ages of Proofreaders
At a large publishing company, the mean age of proofreaders is 36.2 years and the standard deviation is 3.7  years. Assume the variable is normally distributed. Round intermediate z -value calculations to two decimal places and the final answers to at least four decimal places.

If a proofreader from the company is randomly selected, find the probability that his or her age will be between 36 and 37.5

 years.

If a random sample of 40 proofreaders is selected, find the probability that the mean age of the proofreaders in the sample will be between 36 and 37.5 years. Assume that the sample is taken from a large population and the correction factor can be ignored.