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Please see an attachment for details < > C i webassign.net/web/Student/Assignment-Responses/last?dep=27772701#Q17 Suppose x has a distribution with a mean of 50 and a standard deviation of 12. Random samples of size n = 64 are drawn. (a) Describe the x distribution. O x has a normal distribution. O x has a Poisson distribution. O x has an unknown distribution. O x has a binomial distribution. O x has a geometric distribution. O x has an approximately normal distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) Hy = (b) Find the z value corresponding to x = 47. (Enter an exact number.) z= (c) Find P(x < 47). (Enter a number. Round your answer to four decimal places.) P(x < 47) = (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 47? Explain. O Yes, it would be unusual because less than 5% of all such samples have means less than 47. O Yes, it would be unusual because more than 5% of all such samples have means lessthan 47. No, it would not be unusual because more than 5% of all such samples have means less than 47. O No, it would not be unusual because less than 5% of all such samples have means less than 47.... Show more MathStatistics and Probability

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