1. Math
2. Statistics And Probability
3. let x1x2xn denote independent and identically distributed random variables with...

# Question: let x1x2xn denote independent and identically distributed random variables with...

###### Question details

Let X1,X2,...,Xn denote independent and identically distributed random variables with mean µ and variance 2. State whether each of the following statements are true or false, fully justifying your answer.

(a) T =(n/n-1)X is a consistent estimator of µ.

(b) T = is a consistent estimator of µ (assuming n7).

(c) T = is an unbiased estimator of µ.

(d) T = X1X2 is an unbiased estimator of µ^2.