Question: 3. We roll a fair six-sided die n times. Let S be the total number of sixes we roll. (a) What is E(S)? What

3. We roll a fair six-sided die n times. Let S be the total number of sixes we roll. (a) What is E(S)? What is var(S)? (b) Use Chebyshef's inequality to show that the probability of S lying between - and + is at least 33{. Hint: Consider the random variable Y S E(X).

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