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2) Consider the following probability distribution: [35 Points] p(x) a. Find u and o2.~ b. Find the sampling distribution of the sample mean x for

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2) Consider the following probability distribution: [35 Points] p(x) a. Find u and o2.~ b. Find the sampling distribution of the sample mean x for a random sample of n = 2 measurements from this distribution.~ c. Show that x is an unbiased estimator of .+ [Hint: Show that E (x) = Exp(x) = H.] d. Find the sampling distribution of the sample variance s for a random sample of n = 2 measurements from this distribution.~ e. Show that s is an unbiased estimator for o2.~

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