A research scientists reports that mice will live an average of 42 months when their diets are sharply restricted and enriched with vitamins and proteins. Assuming that the lifetimes of such mice are normally distributed with a standard deviation of 6 months, find the probability that a given mouse will live
(a) more than 32 months
(b) less than 37 monhts
(c) between 40 and 48 months