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16-12-2022
Mathematics

Answered

a fair 6-sided die is rolled repeatedly until the total sum of all rolls exceeds 300. use the central limit theorem to approximate the probability that at least 80 rolls are necessary.
(Hint: Let ; be the outcome of the ith roll. You can use the fact that Xn Kz. are jid random variables with E[X;] = 7/2 and Var( X;) = 35/12_ Consider X X7e X;_ Then P(X < 300) is the same as the probability that at least 80 rolls are necessary )

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