Week 3Instructions Week#Text Chapter Exercisepage31Lane et al.5721732Lane et al.52522133Lane et al.52722234Illowsky et al.38620735Illowsky et al.39820936Illowsky et al.311221037Illowsky et al.312421438Illowsky et al.47226839Illowsky et al.480270310Illowsky et al.4882717. You flip a coin three times. The possible outcomes of this random experiment are,S = {(HHH), (HHT), (HTH), (THH), (HTT), (TTH), (THT), (TTT)}n (S) = 8(a) What is the probability of getting heads on only one of your flips? The cases favorable to the event E1 of getting heads on only one of your flips are,E1 = {(HTT), (TTH), (THT)}n (E1) = 3P (E1) = n (E1) / n (S) = 3/8 = 0.375(b) What is the probability of getting heads on at least one flip?The cases favorable to the event E2 of getting heads on only one of your flips are,E2 = {(HHH), (HHT), (HTH), (THH), (HTT), (TTH), (THT)}n (E2) = 7P (E2) = n (E2) / n (S) = 7/8 = 0.87525. You are to participate in an exam for which you had no chance to study, and for that reason cannot do anything but guess for each question (all questions being of the multiple choice type, so the chance of guessing the correct answer for each question is 1/d, d being