Suppose a brewery has a filling machine that fills 12-ounce…

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 amean of 12.32 ounces and a standard deviation of 0.04 ounce. Find the probability that thebottle contains fewer than 12.22 ounces of beer to three decimal places.