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In statistical mechanics I need to explain why the mean value is approximately equal to the most probable value for systems with a large number of random variables.

Now I can provide an example of the binomial distribution and show what happens when N tends to infinity ( it goes to a dirac delta function), however I'm not sure how to explain why this happens exactly.

I believe the basis is the Law of Large numbers, I'm not sure if stating this law is sufficient enough to though.

Cheers for any help,

Tom

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# Mean = Most Probable Value - Statistical Mechanics

Can you offer guidance or do you also need help?

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