The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2744 and standard deviation 700. One randomly selected customer is observed to see how many...

The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2744 and standard deviation 700. 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 2441 calories.


c. What proportion of the customers consumed more than 2895 calories?