The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2832 and standard deviation 663. 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 2668 calories. c. What proportion of the customers consume over 2996 calories?

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Please answer A thru E for me on both!!! THANK YOU IN ADVANCE!!! :) <3

The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean
2832 and standard deviation 663. 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 2668 calories.
c. What proportion of the customers consume over 2996 calories?
Transcribed Image Text:The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2832 and standard deviation 663. 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 2668 calories. c. What proportion of the customers consume over 2996 calories?
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