The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2828 and standard deviation 558. 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 2551 calories. c. What proportion of the customers consumed more than 3216 calories?

The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2828 and standard deviation 558. 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 2551 calories. c. What proportion of the customers consumed more than 3216 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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Question

a. What is the distribution of X? X ~ N

b. Find the probability that the customer consumes fewer than 2551 calories.

c. What proportion of the customers consumed more than 3216 calories?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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