1. Suppose that nX is a random sample with variance σ2 . Let \( U = \frac{1}{n} \sum_{i=1}^{2n} X_{2i-1} \) and
\( V = \frac{1}{2n} \sum_{i=1}^{2n} X_i \) . Consider Chebyshev inequality and Center Limit Theorem, respectively, tosuggest a value of n which such that \( P(|U - V| \le \sigma) \) . Which method gives a smallersuggested value of n ? Why? (40%)