16   6. Korhan and Louise challenge each other to find an estimator for the mean, μ, of the continuous random variable X which has variance σ 2 X1, X2, X3, …, Xn are n independent observations taken from X Korhan’s estimator is given by K n n rX r r n = + ( ) =∑ 2 1 1 Louise’s estimator is given by ( ) 3 4 1 2 … 3 3 2 n X X X X X L n + + + + = + − (a) Show that K and L are both unbiased estimators of μ (5) (b) (i) Find Var (K) (ii) Find Var (L) (7) The winner of the challenge is the person who finds the better estimator. (c) Determine the winner of the challenge for large values of n. Give reasons for your answer. 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