Let X be the sum of two fair dice that are rolled. a) Show 5 P(X = 6) = 36 b) Simulate 100 rolls of the dice and determine if 5 or more consecutive sums of 6 occured. c) Create a loop so the simulation is repeated 100,000 times. In the loop keep track if our 100 rolls had 5 or more consecutive rolls with sum of 6. d) Using the simulation in part. c, estimate the probability of getting 5 or more consecutive sums of 6 in 100 rolls of two fair dice. e) Modify the code in part c to determine the probability of getting 4 or more consecutive sums of 6 in 100 rolls of two fair dice.