Problem 1. (a) Fix y. Let. 0 = F(y) and On = F,.(y). Compute the bias, SE and MSE of Of. (b) Fix another y' > y. Let 0 = F(y') - F(y) and On = Er(y') - F(y). Compute the bias, SE and MSE of On. Problem 2. Let Y ~ Unif(0, 0). (a) Let On = max (Yi, . .., Y,). Compute the bias, SE and MSE of Or. (b) Let On = " max (Y1, ..., Ym). Compute the bias, SE and MSE of On. (c) Let On = 2/1,. Compute the bias, SE and MSE of Or. (d) Compare the estimators above. Explain when you might choose to use each estimator and why