In a juice bottling process at the apple orchard plant located in Kentville, N.S., the actual amount poured by a filling machine into a 20-ounce bottle follows a normal distribution with a mean of 20.0 ounces and a standard deviation of .18 ounces.The bottle can hold up to 20.25 ounces. Required: a. What percentage of bottles overflow when filled? b. In the next three bottles filled, what is the probability that all will overflow? c. In the next three bottles filled, what is the probability that the average amount per bottle is less than 19.8 ounces