Question: Answer and explain the following question. Let X.._ X2__ X3. X4 he a random sample from a distribution having unknown mean a. and variance (I2.

Answer and explain the following question.

Let X.._ X2__ X3. X4 he a random sample from a distribution having unknown mean a. and variance (I2. The following estimators for a. have been proposed: 111 = [3:1 + L; + X3 + defd. :1: = X1 X2 +333 +X4__ a, = [2X1+ some. 114 = [1 + 1'4\"?- a. Determine which of the above estimators are unbiased estimators of p. h. Find the variance of each of the above estimators in terms of 0'2 and then sort these estimators in terms of their variances

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