Answered: A pack of potato chips is randomly…

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 factory is producing packs of potato chips using two machines, A and B, only. It is known that the weights of the packs of potato chips produced by machine A follow a normal distribution of mean 79.8 g and standard deviation 0.6 g, while the weights of the packs of potato chips produced by machine B follow a normal distribution of mean 80.1 g and standard deviation 0.5 g. It is known that about 42% of the packs of potato chips produced by this factory weigh less than 79.9 g.

(a) A pack of potato chips is randomly chosen from the outputs of machine A. Find the probability that it weighs less than 79.9 g.

(b) A pack of potato chips is randomly chosen from the outputs of machine B. Find the probability that it weighs less than 79.9 g.

(c) A pack of potato chips is randomly chosen from the outputs of this factory and is found to weigh less than 79.9 g. Find the probability that it was produced by machine A.

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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