3 2 Independent and Mutually Exclusive Events Use the following information to answer the next 12 exercises The graph shown is based on more than 170 000 interviews that took place from January through December 2012 The sample consists of employed Americans 18 years of age or older The Health Index Scores are the sample space We randomly sample one type of Health Index Score the emotional well being score Occupation Service Transportation Manufacturing or production Sales Clerical or office Installation and repair Construction or mining Manager executive or official Business owner Nurse Professional Farming fishing or forestry Teacher K 12 Physician Figure 3 21 77 78 79 80 Health Index Score 81 82 83 84 85 68 Find the probability that a Health Index Score is 82 7 69 Find the probability that a Health Index Score is 81 0 70 Find the probability that a Health Index Score is more than 81 71 Find the probability that a Health Index Score is between 80 5 and 82 72 If we know a Health Index Score is 81 5 or more what is the probability that it is 82 7 73 What is the probability that a Health Index Score is 80 7 or 82 7 74 What is the probability that a Health Index Score is less than 80 2 given that it is already less than 81 75 What occupation has the highest Health Index Score 76 What occupation has the lowest emotional index score 77 What is the range of the data