A fair six-sided die is repeatedly rolled 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 )