Answered: A beverage factory machine fills can…

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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A beverage factory machine fills can with chocolate drink follows the normal distribution with a
mean weight of 155 grams and a standard deviation of 5 grams.

1) A can is selected at random. Find the probability that the can’s weight less than 165 grams.

2) The company of this chocolate beverage decided to replace the filling machine if 12.3% of the
can is filled the minimum of x grams of chocolate drink. Find the value of x.

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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