The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2857 and standard deviation 564. 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 2581 calories. c. What proportion of the customers more than 3241 calories?

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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.