The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2807 and standard deviation 513. 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 2554 calories. c. What proportion of the customers consumed more than 2980 calories?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The number of calories consumed by customers at the Chinese buffet is normally distributed with mean
2807 and standard deviation 513. 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 2554 calories.
c. What proportion of the customers consumed more than 2980 calories?
Transcribed Image Text:The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2807 and standard deviation 513. 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 2554 calories. c. What proportion of the customers consumed more than 2980 calories?
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