(11) 6. You roll two dice 580 times and get 36 sums of 11. a) At the .01 level are the dice fair? (p-value = .615) b) The 99% confidence interval is (.035, .086) for the 580 rolls. Interpret what the confidence interval means in context of the problem? (9) 7. If event A= rolling a sum of 9, event B = die 1 is a 6 and event C = sum of the dice is over 7 a) Are events A and B independent, dependent or mutually exclusive? Why or why not b) Are events A and C independent, dependent or mutually exclusive? Why or why not c) Are events B and C independent, dependent or mutually exclusive? Why or why not