The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2929 and standard deviation 512. 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( 2929 512 b. Find the probability that the customer consumes less than 2821 calories. c. What proportion of the customers consume over 3193 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 2929 and standard deviation 512. 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( 2929 512 b. Find the probability that the customer consumes less than 2821 calories. c. What proportion of the customers consume over 3193 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)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please answer B, C, & D.
![The amount of calories consumed by customers at the Chinese buffet is normally distributed with a mean of 2929 and a standard deviation of 512. One randomly selected customer is observed to determine how many calories \(X\) that customer consumes. Round all answers to four decimal places where possible.
a. What is the distribution of \(X\)?
\[X \sim N(2929, 512)\]
b. Find the probability that the customer consumes less than 2821 calories.
c. What proportion of the customers consume over 3193 calories?
d. The Piggy award will be 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? (Round to the nearest calorie)
There are no graphs or diagrams included in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0017d92f-fd5a-4a34-8e16-36b3a20e3d6d%2Fa0ca7ad8-4575-4575-b48d-e57756bddbdf%2Fy0toylg_processed.png&w=3840&q=75)
Transcribed Image Text:The amount of calories consumed by customers at the Chinese buffet is normally distributed with a mean of 2929 and a standard deviation of 512. One randomly selected customer is observed to determine how many calories \(X\) that customer consumes. Round all answers to four decimal places where possible.
a. What is the distribution of \(X\)?
\[X \sim N(2929, 512)\]
b. Find the probability that the customer consumes less than 2821 calories.
c. What proportion of the customers consume over 3193 calories?
d. The Piggy award will be 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? (Round to the nearest calorie)
There are no graphs or diagrams included in the image.
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