The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2784 and standard deviation 617. One randomly selected customer is observed to see how many...

Extracted text: The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2784 and standard deviation 617. 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 2448 calories. c. What proportion of the customers consumed more than 3149 calories?