Random Sample

**zorro** · January 7th 2009, 12:09 AM

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 $Var(\bar x)$

**mr fantastic** · January 7th 2009, 05:45 AM

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

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