Answered: On the distant planet Cowabunga , the…

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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On the distant planet Cowabunga , the weights of cows have a normal distribution with a mean of 500 pounds and a standard deviation of 45 pounds. The cow transport truck holds 11 cows and can hold a maximum weight of 5698. If 11 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 5698? (This is the same as asking what is the probability that their mean weight is over 518.)

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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