The foreman of a bottling plant has observed that the amount of soda in each \16-ounce" bottle is actually a normally distributed random variable, with a mean of 16.1 ounces and a standard deviation of 0.3 ounce. (a) If a customer buys a bottle, what is the probability that the bottle will contain more than 16 ounces? (b) If a customer buys a carton of 4 bottles, what is the probability that the mean amount of the 4 bottles will be greater than 16 ounces? (c) If a customer buys a carton of 9 bottles, what is the probability that the mean amount of the 9 bottles will be greater than 16 ounces? (d) If a customer buys a carton of 16 bottles, what is the probability that the mean amount of the 16 bottles will be greater than 16 ounces?