The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2732 and standard deviation 642. 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 less than 2559 calories. c. What proportion of the customers consume over 3060 calories? d. The Piggy award will given out to the 2% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award?  calories. (Round to the nearest calorie)

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.