Help with Unbiased Estimators

BlueScreenOD

1. The problem statement, all variables and given/known data

See attached.

2. Relevant equations

3. The attempt at a solution

I have no issues with part A. I simply took the expected value of T₁ and T₂ and everything turned out fine. What I'm having issues with is part B.

I have:
T₁ = (4 / n) * 1997 - 2 = 0.08075
T₂ = (4 / n) * 32 = 0.03334

Why are my answers so different if they are both unbiased estimators? Shouldn't they at least be somewhat close to each other?

Attached Thumbnails

 

Billy Bob

Your answers are correct. The expected value of T₁ is θ. However, any observed value of T₁ may or may not be close to θ.