Answered: In the United States, egg sizes are set…

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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In the United States, egg sizes are set by the Department of Agriculture. A "large" egg, for example, weighs between 57 and 64grams. Suppose the weights of eggs produced by hens owned by a particular farmer are approximately normally distributed with a mean of 55.8 grams and a standard deviation of 7.5 grams.

What proportion of these eggs weigh less than 50grams?

What percent of these eggs would be classified as large?

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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