Answered: A coca-cola machine can be regulated so…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A coca-cola machine can be regulated so that it discharges an average of μ milliliters per cup. If the milliliters of fill are normally distributed with standard devia- tion 2 milliliters, give the setting for μ so that 120-milliliter cups will overflow only 0.1% of time. Now suppose the standard deviation, σ, of the machine can be fixed at certain level by carefully adjusting the machine. What is the largest value of σ that will allow the actual amount dispensed to fall within 5 milliliters of the mean with probability 0.999?

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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