The fill amount in1-liter soft drink bottles is normally distributed, with a mean of 1.0 liter and a standard deviation of 0.05 liter. If bottles contain less than 96% of the listed net content (0.96 liters, in this case), the manufacturer may be subject to penalty by the state office of consumer affairs. Bottles that have a net content above 1.06 liters may cause excess spillage upon opening.
a. What proportion of bottles contain between 0.96 and 1.0 liters?
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