A soft drinks 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 91 and 209 milliliters? c. How many cups will likely to overflow if 230 milliliters cups are used for the next 1000 drinks? d. 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 3CYU
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A soft drinks 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 91 and 209 milliliters?
c. How many cups will likely to overflow if 230
milliliters cups are used for the next 1000
drinks?
d. Below what value do we get the smallest
25% of the drinks?
Transcribed Image Text:A soft drinks 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 91 and 209 milliliters? c. How many cups will likely to overflow if 230 milliliters 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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