Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine...

Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known thatthe amount of beer poured by this filling machine follows a normal distribution with mean12.24 ounces and standard deviation 0.04 ounces. The company is interested in reducing theamount of extra beer that is poured into the 12 ounce bottles. The company is seeking toidentify the highest 1.5% of the fill amounts poured by this machine. For what fill amount arethey searching?