The proportion of university graduates who find employment within six months of graduation is 80%. You have a random sample of n = 400 individuals. (a) (2pts) What are the mean and standard deviation of p, the sample proportion who find employment? (b) (1pts) Is the distribution of p approximately normal? Justify your answer. (c) (3pts) What is the probability that the sample proportion lies between 75% and 85%?Weights of Lamb after eight weeks after born are normally distributed with mean [1 = 14 kg and variance 02 = 4. (a) (2 pts) Find the probability p that a single lamb has weight less than 12 kg. (b) (3 pts) Find the probability that exactly 3 of the next 5 lambs examined will have weights less than 12 kg