(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let M=(X_{1}+X_{2}+...+X_{100})/100 where each X_{i}'s has the same distribution of X. Find P(11<M<12) in terms of the cumulative distribution function for the standard normal distribution.

2. Relevant equations

3. The attempt at a solution

This looks like a "central limit theorem(CLT)" question to me, but with a careful look at the assumptions of CLT, it says that the X_{i}'s must beindependentand identically distributed while in this question, there is nothing that indicates independence. How can I solve this problem then?

Thank you for helping!

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# Homework Help: Central Limit Theorem?

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