Answered: A soft drink machine is regulated so…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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Question

A soft drink machine is regulated so that it discharges an average of 200 ml per
cup. If the amount of drink is normally distributed with a standard deviation
equal to 15 ml, a) what fraction of the cups will contain more than 224 ml? b)
What is the probability that a cup contains between 191 and 209 ml? c) How
many cups will probably overflow if 230 ml cups are used for the next 1000 drinks?

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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