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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
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Chapter 6, Problem 6.11

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QUESTION:

A soft-drink machine is regulated so that it discharges an average of 200 milliliters per cup. If the amount of drink is normally distributed with a standard deviation equal to 15 milliliters, (a) what fraction of the cups will contain more than 224 milliliters? (b) what is the probability that a cup contains between 191 and 209 milliliters? (c) how many cups will probably overow if 230milliliter cups are used for the next 1000 drinks? (d) below what value do we get the smallest 25% of the drinks?

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QUESTION:

A soft-drink machine is regulated so that it discharges an average of 200 milliliters per cup. If the amount of drink is normally distributed with a standard deviation equal to 15 milliliters, (a) what fraction of the cups will contain more than 224 milliliters? (b) what is the probability that a cup contains between 191 and 209 milliliters? (c) how many cups will probably overow if 230milliliter cups are used for the next 1000 drinks? (d) below what value do we get the smallest 25% of the drinks?

ANSWER:

Q: A soft-drink machine is regulated so that it discharges an average of 200 milliliters per cup. Ifthe amount of drink is normally distributed with a standard deviation equal to 15 milliliters, (a)what fraction of the cups will contain more than 224 milliliters (b) what is the probability that acup contains between 191 and 209 milliliters (c) how many cups will probably overflow if230milliliter cups are used for the next 1000 drinks (d) below what value do we get the smallest25% of the drinks Step By Step SolutionStep 1 of 5:MeanStandard deviation:

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