Suppose that a random sample of size 64 is to be selected from a population with mean 30 and standard deviation 5. (a) What are the mean and standard deviation of the sampling distribution of X? - x 30 5 Describe the shape of the sampling distribution of x. The shape of the sampling distribution of x is approximately normal (b) What is the approximate probability that x will be within 0.5 of the population mean ? (Round your answer to four decimal places.) 0.5596 (c) What is the approximate probability that x will differ from by more than 0.8? (Round your answer to four decimal places.) 0.0779