Answered: A coffee dispensing machine used in…

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 dispensing machine used in cafeterias is set to dispense coffee with an
average fill of 230ml and a standard deviation of 10ml per cup. Assume that the
volume dispensed is normally distributed. For a randomly selected cup dispensed by
the machine, what is the probability that :
a. The cup is filled to more than 235ml?
b. The cup is filled to between 235 and 245 ml?
c. The cup is less than 220 ml full?
d. If the company supplying the coffee would want only 15% of cups to exceed a
given fill level, what level of fill (in ml) does this correspond to?

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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