x7012n64(a) Describe the distribution. has a geometric distribution. has a binomial distribution. has a Poisson distribution. has an approximately normal distribution. has a normal distribution. has an unknown distribution.Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) = mu sub x bar = = sigma sub x bar =(b) Find the z value corresponding to = 73. (Enter an exact number.)z = (c) Find P( < 73). (Enter a number. Round your answer to four decimal places.)P( < 73) = P(x bar < 73)(d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 73? Explain.Yes, it would be unusual because less than 5% of all such samples have means less than 73.No, it would not be unusual because more than 5% of all such samples have means less than 73. Yes, it would be unusual because more than 5% of all such samples have means less than 73.No, it would not be unusual because less than 5% of all such samples have means less than 73.

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