Answered: A coffee vending machine is regulated…

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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Question

A coffee vending machine is regulated so that it discharges an average of 200 milliliters per cup. If the amount of coffee is normally distributed with a standard deviation of 15 milliliters, answer the following.
a. What fraction of the cups will contain more than 224 milliliters?
b. What is the probability a cup contains between 190 and 210 milliliters?
C. How many cups will overflow if 230-millilter drinks? cups are used for 1000 coffee drinks?

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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