A popular soft drink is sold in 1-liter (1,000-milliliter) bottles. Because of variation in the filling process, bottles have a mean of 1,000 milliliters and a standard deviation of 22 milliliters, normally distributed. Complete parts a and b below. a. If the process fills the bottle by more than 40 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring? 0.0345 (Round to four decimal places as needed.) b. What is the probability of underfilling the bottle by at least 12 milliliters? (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A popular soft drink is sold in 1-liter (1,000-milliliter) bottles. Because of variation in the filling process, bottles have a mean of 1,000 milliliters and a standard deviation
of 22 milliliters, normally distributed. Complete parts a and b below.
a. If the process fills the bottle by more than 40 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring?
0.0345 (Round to four decimal places as needed.)
b. What is the probability of underfilling the bottle by at least 12 milliliters?
(Round to four decimal places as needed.)
Transcribed Image Text:A popular soft drink is sold in 1-liter (1,000-milliliter) bottles. Because of variation in the filling process, bottles have a mean of 1,000 milliliters and a standard deviation of 22 milliliters, normally distributed. Complete parts a and b below. a. If the process fills the bottle by more than 40 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring? 0.0345 (Round to four decimal places as needed.) b. What is the probability of underfilling the bottle by at least 12 milliliters? (Round to four decimal places as needed.)
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