(10 points) A population X satisfies uniform distribution XU[a,b], where 0 < a < b are unknown. Observed values of sample are as follows. 1,2,*3,4,5 a. Determine the observed values of sample mean bar(x) and sample variance s_(n)^(2). b. Find the moment estimators hat(a)_(1), hat(b)_(1) of parameters a,b. Give the observed values of moment estimators hat(a)_(1), hat(b)_(1). c. Find the maximal likelihood estimators hat(a)_(2), hat(b)_(2) of parameters a,b. Give the observed values of maximal likelihood estimators hat(a)_(2), hat(b)_(2). d. Which group of estimators is better? hat(a)_(1), hat(b)_(1) or hat(a)_(2), hat(b)_(2)