please review the question below

2. [10 points] Let 191 and 92 be independent estimators of 6. Suppose that 631 is an Pnhiased estimator of 6 with Varwl) : 02. Suppose also that Bias(62) : EH92] 0 = b and Var(t92) : 02. Consider the estimator A 9:091 +(1c)6l2, where 0 5 CS 1. (a) [7 points] Calculate the bias, variance and mean squared error of 9. (b)A[3 points] Find the value of c, Which will depend on (72 and b, such that the mean squared error of (9 is minimized