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Normal Probability

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The filled amount of bottles of soft drink has been found to be normally distributed with a mean of 2.0 liters and a standard deviation of 0.05 liter. Bottles that contain less than 95% of the listed net content (1.90 liters) can make the manufacturer subject to fines by the state of of consumer affairs whereas bottles that have a net content above 2.10 liters may cause excess spillage upon opening. What proportion of the bottles will contain below 1.90 liters or above 2.10 liters?

A. 0.0228
B. 0.0456
C. 0.5456
D. 0.9544.

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The solution determines what proportion of the bottles will contain below 1.90 liters or above 2.10 liters.

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