1) Suppose X1, X2,.Xn is a set of sample random variables taken from a uniform distribution on the interval (, +1). Consider the following two...

1) Suppose X1, X2,....Xn is a set of sample random variables takenfrom a uniform distribution on the interval (θ,θ +1). Considerthe following two estimators of θ:ˆ 0.51   X  ˆ 2X2  a) Are these unbiased estimators of θ? Justify with theappropriate statistical procedures.b) Which estimate has lower variance?c) Does it make sense to compute the efficiency of estimatorone relative to estimator two? Explaind) Are these consistent estimators of θ? Justify with theappropriate statistical procedures.