Suppose x has a distribution with a mean of 40 and a standard deviation of 12. Random samples of size n = 64 are drawn. USE SALT (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has ---Select--- distribution with mean = = (b) Find the z value corresponding to x = 37. Z = and standard deviation = (c) Find P(x < 37). (Round your answer to four decimal places.) P(x < 37) = (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 37? Explain. Yes, it would be unusual because less than 5% of all such samples have means less than 37. No, it would not be unusual because more than 5% of all such samples have means less than 37. Yes, it would be unusual because more than 5% of all such samples have means less than 37. No, it would not be unusual because less than 5% of all such samples have means less than 37.