A new breed of potatoes has weights that are normally distributed with mean = 9.1 ounces and population standard deviation = 1.2 ounces. A local market sells potatoes in bags of 10. Potatoes are randomly assigned to bags.

(a) What are the mean and standard deviation of the distribution of all average weights of bags that contain 10 potatoes? Round the standard deviation to two decimal places.

(b) What is the probability that a randomly selected bag of 10 potatoes will have an average weight above 9.5 ounces? Round your answer to three decimal places.