**Analysis of Caloric Consumption at a Buffet**The number of calories consumed by customers at the Chinese buffet is normally distributed with a mean of 2808 and a standard deviation of 517. We randomly observe one customer to determine the number of calories \( X \) that they consume. We will round all numerical answers to four decimal places unless otherwise specified.**a. Distribution of \( X \):** The distribution of \( X \) is defined as:\[ X \sim N(2808, 517) \]**b. Probability of Consuming Less Than 2442 Calories:**The probability that a customer consumes less than 2442 calories is calculated as:\[ P(X < 2442) = 0.2395 \]**c. Proportion of Customers Consuming Over 3192 Calories:**The proportion of customers who consume more than 3192 calories is:\[ P(X > 3192) = 0.2288 \]**d. Caloric Requirement for the Piggy Award:**The Piggy award is presented to the top 2% of customers who consume the most calories. The minimum number of calories required to earn this award is:\[ 4131 \text{ calories} \]Calories to consume is rounded to the nearest whole number.

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The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2808 and standard deviation 517. 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( 2808 517 b. Find the probability that the customer consumes less than 2442 calories. 0.2395 c. What proportion of the customers consume over 3192 calories? 0.2288 d. The Piggy award will given out to the 2% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? 4131 x calories. (Round to the nearest calorie)

The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2808 and standard deviation 517. 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( 2808 517 b. Find the probability that the customer consumes less than 2442 calories. 0.2395 c. What proportion of the customers consume over 3192 calories? 0.2288 d. The Piggy award will given out to the 2% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? 4131 x 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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