Suppose x has a distribution with a mean of 90 and a standard deviation of 21. Random samples of size n = 36 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 x = (b) Find the z value corresponding to x = 83. Z = and standard deviation = (c) Find P(x < 83). (Round your answer to four decimal places.) P(x < 83) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 83? Explain. O Yes, it would be unusual because less than 5% of all such samples have means less than 83. No, it would not be unusual because more than 5% of all such samples have means less than 83. Yes, it would be unusual because more than 5% of all such samples have means less than 83. No, it would not be unusual because less than 5% of all such samples have means less than 83.