SOLUTION: A soft drink company fills two-liter bottles on several different lines of production equipment. The fill volumes are normally distributed with a mean of 1.97 liters and a variance
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Question 1149547: A soft drink company fills two-liter bottles on several different lines of production equipment. The fill volumes are normally distributed with a mean of 1.97 liters and a variance of 0.04 (liter)2.
a. What is the minimum volume of drink required, in liters, to meet the probability of 2.13 percent.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The z-score associated with a probability of 0.0213 is -2.03 from the table of z-values
:
(X -1.97)/0.04 = -2.03
:
X -1.97 = −0.0812
:
X = 1.8888
:
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the minimumvolume is 1.8888 liters
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