I would appreciate some hints on this problem: a die is thrown ten times, use large deviation function of a Bernoulli distribution to give an estimate of the probability that the sum is 27. First it seems to me this is not a sequence of Bernoulli variables and second assuming it is how to scale the mean to be between 0 and 1?
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5$\begingroup$ Is that a verbatim statement of the question? $\endgroup$– cardinalCommented Oct 13, 2012 at 18:39
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I think I got it: an estimation can be thought as replacing the sum of 10 independent variables by a single Bernoulli variable and scale appropriately the approximation given by the large deviation function.
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4$\begingroup$ For this to be an answer, you'd have to explain how this works. It's not immediately clear that it does. $\endgroup$– Glen_bCommented Oct 10, 2013 at 8:54