1 You roll two normal dice 648 times. X is the highest of the values showing on the two dice. 2 For example, if you roll a 4 and a 3, for total of 7, then X = 4. 3 Define Y to be the number of times that X = 4 out of the 648 trials. 4 Determine the following (use a normal approximation, with half-unit correction, on the probabilities): 5 6 7 Find: 8 E(Y) 9 Var(Y) P(Y = 126) P(116