The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2942 and standard d

[answerhappygod]

The amount of calories consumed by customers at the Chinesebuffet is normally distributed with mean 2942 and standarddeviation 640. One randomly selected customer is observed to seehow many calories X that customer consumes. Round all answers to 4decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that the customer consumes less than 2627calories. c. What proportion of the customers consume over 3207calories? d. The Piggy award will given out to the 2% of customers whoconsume the most calories. What is the fewest number of calories aperson must consume to receive the Piggyaward? calories. (Round to the nearest calorie)