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?

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?

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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