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kingwinner
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Homework Statement
Let M=(X1+X2+...+X100)/100 where each Xi's has the same distribution of X. Find P(11<M<12) in terms of the cumulative distribution function for the standard normal distribution.
Homework Equations
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 Xi's must be independent and identically distributed while in this question, there is nothing that indicates independence. How can I solve this problem then?
Thank you for helping!