Answered: Boxes of cereal are filled by a…

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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Question

Boxes of cereal are filled by a machine. Tests of the machine’s accuracy show that the amount of cereal in each box varies. The

weights are normally distributed with a mean of 20 ounces and a standard deviation of 0.25 ounce.

a) Find the z-scores for weights of:

19.4 ounces

20.4 ounces

b) What is the probability that a randomly selected cereal box weighs at most 19.4 ounces?

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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