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n 2819 and star to se mal places wher e how ma

n 2819 and star to se mal places wher e how ma

MATLAB: An Introduction with Applications
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 mean 2819 and standard deviation 692. 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(2819, 692) b. Find the probability that the customer consumes less than 2468 calories. [Input box] c. What proportion of the customers consume over 3164 calories? [Input box] 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) [Input box] calories.
Transcribed Image Text:The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2819 and standard deviation 692. 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(2819, 692) b. Find the probability that the customer consumes less than 2468 calories. [Input box] c. What proportion of the customers consume over 3164 calories? [Input box] 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) [Input box] calories.
Expert Solution
Step 1

According to the scenario, the amount of calories consumed by customers at the Chinese buffet is normally distributes with mean 2819 and s.d. 692. 

let X be a random variable representing the calories consumed that follow a normal distribution with μ=2819 and σ=692.

X~N(2819,6922)

and Z=X-μσ~N(0,1)

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