The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2840 and standard deviation 506. 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 2523 calories. c. What proportion of the customers consumed more than 3077 calories?
The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2840 and standard deviation 506. 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 2523 calories. c. What proportion of the customers consumed more than 3077 calories?
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![The number of calories consumed by customers at
the Chinese buffet is normally distributed with mean
2840 and standard deviation 506. 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 2523 calories.
c. What proportion of the customers consumed more
than 3077 calories?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fadb58edc-76a8-4215-8abd-8e37e0700ca4%2Fd25337be-5671-4e4a-84e7-2e47401aa845%2Fr22wi3.png&w=3840&q=75)
Transcribed Image Text:The number of calories consumed by customers at
the Chinese buffet is normally distributed with mean
2840 and standard deviation 506. 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 2523 calories.
c. What proportion of the customers consumed more
than 3077 calories?
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