Question: 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 follows a normal distribution with a mean of 12.44 ounces and a standard deviation of 0.06 ounce. Find the probability that a sample of 36 of the bottles has a mean that (a) exceeds 12.46 ounces (B) is between 12.42 and 12.46 ounces (C ) is less than 12.45 ounces.