3. A soft drink vending machine dispenses soda into 12-ounce cups. Tests show that the actual amount of soda dispensed is normally distributed, with a mean of 11.5 oz and a standard deviation of 0.2 oz. a. What percent of cups will receive less than 11.25 oz of soda? b. What percent of cups will receive between 11.2 oz and 11.55 oz of soda? c. If a cup is chosen at random, what is the probability that the machine will overflow the cup?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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3. A soft drink vending machine dispenses soda into 12-ounce cups. Tests show that the actual amount
of soda dispensed is normally distributed, with a mean of 11.5 oz and a standard deviation of 0.2 oz.
a. What percent of cups will receive less than 11.25 oz of soda?
b. What percent of cups will receive between 11.2 oz and 11.55 oz of soda?
c. If a cup is chosen at random, what is the probability that the machine will overflow the cup?
Transcribed Image Text:3. A soft drink vending machine dispenses soda into 12-ounce cups. Tests show that the actual amount of soda dispensed is normally distributed, with a mean of 11.5 oz and a standard deviation of 0.2 oz. a. What percent of cups will receive less than 11.25 oz of soda? b. What percent of cups will receive between 11.2 oz and 11.55 oz of soda? c. If a cup is chosen at random, what is the probability that the machine will overflow the cup?
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