Suppose the Weights of the Contents of Cans of Mixed $\bar{x}$

Essay

Suppose the weights of the contents of cans of mixed nuts have a normal distribution with mean 40 ounces and standard deviation
.5 ounce. For a random sample of size n = 16
(a) What are the mean and standard deviation of $\bar{x}$
(b) What is the distribution of $\bar{x}$ Is this distribution exact or approximate? Give your reasoning.
(c) Find the probability that $\bar{x}$ lies between 39.75 and 40.25.