A machine fills miniature bottles of wine to a mean volume of 210mL with a standard deviation of 10mL. The volumes of the bottles are known to be normally distributed. The label on the bottle specifies a volume of 200mL. A bottle is under filled if it contains less than this specified value.a. a.What percentage of bottles are under filled?
b. In order to reduce the percentage of under filled bottles to 1%, the company decides to adjust the standard deviation of the volumes filled by the machine. What should the standard deviation be?