A consumer rights organization wants to find out whether a local dairy farm actually puts 16 oz of milk into the container that is labeled 16 oz. Assume the milk put into the container by the local dairy farm follows a normal distribution with a mean of 16.05 and a standard deviation of .03.

(a) What is the probability that a certain container contains more than 16 oz of milk?

(b) The consumer rights organization bought 400 bottles of milk. What is the probability that among them, it found fewer than 12 bottles that do not contain enough milk?