SOLUTION: Assume the fill amount of bottles of a soft drink is normally distributed with a mean of 2.0 liters and standard deviation of 0.03 liter. What is the probability that a randomly se

Question 925042: Assume the fill amount of bottles of a soft drink is normally distributed with a mean of 2.0 liters and standard deviation of 0.03 liter. What is the probability that a randomly selected bottle contains more than 1.94 liters? Use the Empirical Rule
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Assume the fill amount of bottles of a soft drink is normally distributed with a mean of 2.0 liters and standard deviation of 0.03 liter. What is the probability that a randomly selected bottle contains more than 1.94 liters? Use the Empirical Rule
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Find the sigma distance of 1.94 from the mean:: (1.94-2)/0.03 = -0.06/0.03 = -2
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Since 95% of the data is within 2 standard deviations of the mean,
only 2.5% of the data is to the left of 1.94.
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Ans :: Therefore 97.5% of the data is to the right of 1.94.
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Cheers,
Stan H.
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