Suppose x has a distribution with a mean of 50 and a standard deviation of 4. Random samples of size n = 64 are drawn. (a) Describe the x distribution. O x has a Poisson distribution. O x has an approximately normal distribution. O x has a geometric distribution. O x has an unknown distribution. O x has a binomial distribution. x has a normal distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) Hz = Oz = (b) Find the z value corresponding to x = 51. (Enter an exact number.) (c) Find P(x < 51). (Enter a number. Round your answer to four decimal places.) P(x < 51) = (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 51? Explain.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.