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Normal Distributions and Sample Means

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The fill amount of bottles of soft drinks has been found to be normally distributed with a mean of 2.0 liters and a standard deviation of 0.05 liter. If a random sample of bottles is selected, what is the probability that the sample mean will be between 1.99 and 2.0 liters?

A. 0.4772
B. 0.5228
C. 0.9544
D. Cannot be determined from the information given

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This solution provides a brief explanation a question involving normal distribution, sample means, and probability.

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