Answered: Vending machines can be adjusted to…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Vending machines can be adjusted to reject coins above and below certain
weights. The weights of legal U.S. quarters have a normal distribution with a
mean of 5.67 grams and a standard deviation of 0.07 gram. If a vending
machine is adjusted to reject quarters that weigh more than 5.81 grams and less
than 5.53 grams, what percentage of legal quarters will be rejected by the
vending machine?

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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