The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2918 and standard deviation 513. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - NO b. Find the probability that the customer consumes fewer than 2574 calories. c. What proportion of the customers consumed more than 3180 calories?

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