The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2319 and standard deviation l}. Dne randomly selected customer is observed to see how many calories I 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 less than 2635 calories. [:l c. What proportion of the customers consume Dyer 308D calories? C] d. The Piggy award will given out to the 2'36 of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? :1 calories. {Round to the nearest calorie]