A machine is used to fill soda bottles in a factory. The bottles are labeled as containing 2.0 liters, but extra room at the top of the bottle allows for a maximum of 2.25 liters of soda before the bottle overflows. The standard deviation of the amount of soda put into the bottles by the machine is known to be .15 liters.
if the machine is set to fill the bottles with an average of 2.08 liters, what proportion of bottles will be overfilled?
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