Let the population be given by 1, 2, 3 Let p(x) 1 3 for x 1, 2, 3 Take samples of size 3 with replacement (a) Calculate and 2 (b) Obtain the sampling distribution of the sample mean (c) Obtain the mean and variance of the sample mean

Question: Let the population be given by {1, 2, 3}. Let p(x) = 1 / 3 for x = 1, 2, 3. Take samples of size

Let the population be given by {1, 2, 3}. Let p(x) = 1 / 3 for x = 1, 2, 3. Take samples of size 3 with replacement.
(a) Calculate μ and σ2.
(b) Obtain the sampling of the sample mean.
(c) Obtain the mean and variance of the sample mean.

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