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Problem 1 [27 Points (6, 6, 6, 9)]: Estimating Variance Given four observations of a randOm variable: $0 = 10,271 = 13,932 = 17,563 = 24 let us examine two variance estimators: where N = 4 is the number of observations and :2" = 2%. x1- is the sample mean. i Compute aim for the observations above. * 2 bessel ii 00mpute for the observations above. iii Which of the two estimates above do you expect to be closer to the ground truth variance? Justify your response with one or two sentences using any probability vocabulary you deem necessary. iv As3uming that the ground truth expected value of X is E[X] = 17, compute an unbiased estimate of the variance. You may (or may not) need one of the estimators above. Justify your computation with one sentence