NW 5.10 Consider the following probability distribution: Xx p(x) 0 -102 3 1 com 3 2 mean and the sample median. f. Which estimator would you use to estimate ? Why? 3 a. Find μ. b. For a random sample of n = 3 observations from this distribution, find the sampling distribution of the sample mean. c. Find the sampling distribution of the median of a sample of n = 3 observations from this population. d. Refer to parts b and c, and show that both the mean and median are unbiased estimators of μ for this population. e. Find the variances of the sampling distributions of the sample

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