Could you help with these 2 questions on statistics please?

1. Let X1, X2, ..., Xn denote the outcomes of a series of n independent trials, where xi = to with probability e with probability 1 - 0 for i = 1,2, ...,n. LetX = X1+ X2 + .+ + Xn (a) Show that 0, = X, and 02 = = are unbiased estimators for 0. (b) Intuitively, 02 is a better estimator than o, because 0, fails to include any of the information about the parameter contained in trials 2 through n. Verify that speculation by comparing the variances of 6, and 02- 2. Let X1, X2, X3 represent a random sample of size n = 3 which are assumed to have arisen from a Normal probability distribution with mean / and variance oz. X1+2X2+X3 X1+X2+X3 Find the efficiency of relative to as estimators of the population n n mean u