Suppose that for a certain individual, calories intake at breakfast is a random variable with expected value 500 and standard deviation 50, calories intake at lunch is random with expected value 900 and standard deviation 100, and calories intake at dinner is random with expected value 2000 and standard deviation 180 Assuming that intakes at different times are independent of one another and normally distributed, what is the probability that the total calorie intake for a day is between 1500 and 4500?