accompanying table. Complete parts a through c below. Ouserved (wice. in these observations are independent, all the different samples of size 2 and their probabilities are she E Click the icon to view the table. - X a. Show that x is an unbiased estimator of u. Find u and E (x) More info u= 2.9 E (x) = 2.9 1 2 3 4 (Type integers or decimals.) P(x) 0.1 0.4 0.2 0.1 0.2 Is x an unbiased estimator of u? 1.0 1.5 2.0 2.5 3. 3.5 4. 4.5 O A. Yes, since E (x) = u. P(x) 0.01 0.08 0.18 0.16 0.2 0.2 0.09 0.04 0.04 B. No, since E (x) = µ. Full data set O O C. No, since E (x) *u. Sample Mean Probability Sample Mean Probablity 1,1 1.0 0.01 3,4 3.5 0.02 O D. Yes, since E (x) # µ. 1,2 1.5 0.04 3,5 4.0 0.04 1,3 2.0 0.02 4,1 2.5 0.01 b. Find o?. 1,4 2.5 0.01 4,2 3.0 0.04 1,5 3.0 0.02 4,3 3.5 0.02 of = (Round to three decimal places as needed.) 4.0 0.01 2,1 1.5 0.04 4,4 2,2 2.0 0.16 4,5 4.5 0.02 3.0 0.02 c. Find the probability that x will fall within 20, of u. 0.08 2,3 2.5 5,1 2,4 3.0 0.04 5,2 3.5 0.08 (Round to two decimal places as needed.) 5,3 4.0 0.04 2,5 3.5 0.08 2.0 0.02 5,4 4.5 0.02 3,1 3,2 2.5 0.08 5,5 5.0 0.04 3,3 3.0 0.04