1. A softdrink 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 of 15 milliliters, what fraction of the cups will contain more than 224 milliliters? What is the probability that a cup contains between 191 and 209 milliliters? How many cups will probably overflow if 230 milliliter cups are used for the next 1000 drinks? Below what value do we get the smallest 25% of the drinks?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 4CYU
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1. A softdrink 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 of 15 milliliters, what fraction of the
cups will contain more than 224 milliliters?
What is the probability that a cup contains between 191 and 209 milliliters?
How many cups will probably overflow if 230 milliliter cups are used for the next 1000 drinks?
Below what value do we get the smallest 25% of the drinks?
Transcribed Image Text:1. A softdrink 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 of 15 milliliters, what fraction of the cups will contain more than 224 milliliters? What is the probability that a cup contains between 191 and 209 milliliters? How many cups will probably overflow if 230 milliliter cups are used for the next 1000 drinks? Below what value do we get the smallest 25% of the drinks?
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