An estimator is said to be consistent if for any ε > 0, That is is consistent if,...

An estimator is said to be consistent if for any ε > 0, That is is consistent if, as the sample size gets larger, it is less and less likely thatwill be further than ε from the true value of θ.Show that is a consistent estimator of μ when σ² < ∞ by using Chebyshev’s inequality from Exercise 44 of Chapter 3. Hint: The inequality can be rewritten in the form