1.9. Problem. Let the random variable X be defined as the number of pips that show up when a fair, eight-sided die is rolled. (a) If 6000 fair, eight-sided dice are rolled, use the Central Limit Theorem to approximate probability that the mean of number of pips on the 6000 dice is between 4.49 and 4.51. (b) If one million fair, eight-sided dice are rolled, compute the probability that the mean of number of pips on the one million dice is between 4.49 and 4.51