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Suppose x has a distribution with a mean of 80 and a standard deviation of 36. Random samples of size n = 64 are drawn. (a) Describe the x distribution. Ox has an approximately normal distribution. O has a Poisson distribution. Ox has a normal distribution. x has a binomial distribution. has an unknown distribution. Ox has a geometric distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) Hy = dy = x (b) Find the z value corresponding to x = 71. (Enter an exact number.) Z= (c) Find P(x < 71). (Enter a number. Round your answer to four decimal places.) P(X < 71) = (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 71? Explain. No, it would not be unusual because less than 5% of all such samples have means less than 71. Yes, it would be unusual because less than 5% of all such samples have means less than 71. No, it would not be unusual because more than 5% of all such samples have means less than 71. Yes, it would be unusual because more than 5% of all such samples have means less than 71. Need Help? Read It