statistics
posted by Cindy .
At a large publishing company, the mean age of proofreaders is 36.2 years, and the standard deviation is 3.7 years. If a random sample of 15 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 the variable is normally distributed.

Find the mean of the given probability distribution. The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office.