Answered: A machine dispenses juice into bottles…

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 machine dispenses juice into bottles and the fill levels are normally distributed with a mean of 1000 milliliters and a standard deviation of 15 milliliters.

Using the normalcdf command on your calculator, find the following probabilities correctly to 4 decimal places.

a) Find the probability that a bottle is filled between 1005 ml and 1020 ml.

The probability is Blank 1. Fill in the blank, read surrounding text.

b) Find the probability that a bottle is filled with more than 990 ml.

The probability is

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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