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Suppose that for a certain individual, calorie intake at breakfast is random variable with mean 500 and standard deviation (s.d.) 50, calorie intake at lunch is a random variable with mean 900 and s.d. 100. and calorie intake at dinner is a random variable with mean 2000 and s.d. 180. Assuming that intakes at different meals arc independent of one another, what is the approximate probability that the average calorie intake per day over the next year (365 days) is at most 3410?

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