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. C 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.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...
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It is not 1 or 1.0000

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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