1. ## Random Sample

If $X_1,X_2,....... X_n$constitute a random sample from an infinite population with mean $\mu$ and variance $\sigma^2$, obtain $E[\bar x]$ and $Var(\bar x)$

2. Originally Posted by zorro
If $X_1,X_2,....... X_n$constitute a random sample from an infinite population with mean $\mu$ and variance $\sigma^2$, obtain $E[\bar x]$ and $Var(\bar x)$
You don't make it clear whether or not a derivation is required. So I will just refer you to a website that has the standard results which are the answers to your questions: Sampling distribution - Wikipedia, the free encyclopedia