Is a consistent estimator? If yes, enter the limit in probability; that is, enter the constant such that → C as n → ∞ (where the convergence is in probability). If no, enter -999.The quantity √n (√n - 8) converges in distribution to N (0, σ^2). Find the asymptotic variance σ^2.

Question 5 Unbiased VS consistentGive an example of an estimator that is consistent but not unbiased b) Give all example of an estimator that is unbiased but not consistent If you could either have an estimator that is consistent Or unbiased (but not both!) , which would you prefer? Explain