3. (9 marks). Suppose packages of Cream Cheese coming from an automated processor have weights which are normally distributed. For a day's production run, the mean is 8.2 ounces and the standard deviation is 0.1 ounces. (a) (3 marks). What is the probability a randomly selected package of Cream Cheese weighs between 8.3 and 8.5 ounces? (b) (3marks). How much does the Cream Cheese in the package weigh if its weight exceeds 93% of all packages? (c) (3 marks). If a random sample of size 4 is taken from the batch of all Cream Cheese, what is the sampling distribution of the sample mean weight