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The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2706 and standard deviation 596. 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 2423 calories.  c. What proportion of the customers consume over 3012 calories?  d. The Piggy award will given out to the 3% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award?  calories. (Round to the nearest calorie)

The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2706 and standard deviation 596. 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 2423 calories.  c. What proportion of the customers consume over 3012 calories?  d. The Piggy award will given out to the 3% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award?  calories. (Round to the nearest calorie)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2706 and standard deviation 596. 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 2423 calories. 

c. What proportion of the customers consume over 3012 calories? 

d. The Piggy award will given out to the 3% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award?  calories. (Round to the nearest calorie)

The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2706 and standard deviation 596. 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 2423 calories. c. What proportion of the customers consume over 3012 calories? d. The Piggy award will given out to the 3% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? calories. (Round to the nearest calorie)
Transcribed Image Text:The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2706 and standard deviation 596. 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 2423 calories. c. What proportion of the customers consume over 3012 calories? d. The Piggy award will given out to the 3% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? calories. (Round to the nearest calorie)
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