A company that manufactures and bottles juice uses a machine that automatically fills 16-ounce bottles. There is some vari- ation in the amount of liquid dispensed by the machine. The amount of juice dispensed has been observed to follow a normal distribution with mean of 16 ounces and standard deviation of 0.6 ounces. (a) What is the probability that the machine dispenses more than 17 ounces? (b) What is the probability that the machine dispenses between 15.5 and 16.5 ounces? (c) Suppose you wish to be 95% confident that the machine dis- penses between 15.5 and 16.5 ounces. What standard deviation must your machine have for this to be the case?

A company that manufactures and bottles juice uses a machine that automatically fills 16-ounce bottles. There is some vari- ation in the amount of liquid dispensed by the machine. The amount of juice dispensed has been observed to follow a normal distribution with mean of 16 ounces and standard deviation of 0.6 ounces. (a) What is the probability that the machine dispenses more than 17 ounces? (b) What is the probability that the machine dispenses between 15.5 and 16.5 ounces? (c) Suppose you wish to be 95% confident that the machine dis- penses between 15.5 and 16.5 ounces. What standard deviation must your machine have for this to be the case?

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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