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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