(15p) Slippose the weights of the contents of cans of mixed nuts have a normal distribution with mean 32.4 ounces and standard deviation 0.4 ounce. A sample of size n = 9 is chosen. (a) What are the mean and standard deviation ofcer and the sampling distribution obear ? is this distribution exact or approximate? (b) Find the probability that Xbar lies between 32.3 and 32.6. (c) Calculate the probability that a can chosen at random will weigh between 32.3 and 32.6, and compare with the probability in (b)