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The number of calories consumed by customers at the Chinese buffet is normally distributed with mean...

The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2675 and standard deviation 573. 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 ~ N ( , )

b. Find the probability that the customer consumes fewer than 2291 calories:

c. What proportion of the customers more than 2935 calories?

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