Suppose x has a distribution with a mean of 20 and a standard deviation of 9. Random samples of size n = 36 are drawn. (a) Describe the x distribution. Ox has an approximately normal distribution. Ox has a normal distribution. Ox has an unknown distribution. Ox has a Poisson distribution. Ox has a binomial distribution. has a geometric distribution. Ox Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) (b) Find the z value corresponding to x = 17. (Enter an exact number.) (c) Find P(x < 17). (Enter a number. Round your answer to four decimal places.) P(x < 17) = %3D ) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 17? Explain. O No, it would not be unusual because more than 5% of all such samples have means less than 17. O Yes, it would be unusual because less than 5% of all such samples have means less than 17. Yes, it would be unusual because more than 5% of all such samples have means less than 17. O No, it would not be unusual because less than 5% of all such samples have means less than 17. BRBasicStar8Ace73.005 MI

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