A research scientist reports that mice will live an average of 35 months when their diets are  sharply restricted and then enriched with vitamins and proteins. Assuming that the lifetimes of  such mice are normally distributed with a standard deviation of 4.2 month a.  Find the probability that a given mouse will live less than  30 months. b. Find the probability that a given mouse will live between  33 and 46 months

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