I'm really having diffuculties trying to understand this question. 11. (3 pts) The results of a survey for an airline are shown below: Traveler | Male | Female | Total ------------------------------------- Business | 57 | 92 | 149 Vacation | 72 | 74 | 146 ------------------------------------- Total | 129 | 166 | 295 Use the chart to find the probability that the traveler was a) male Well, let's see how many of the Total 295 were males. I'll color the Male column red: Traveler | Male | Female | Total ------------------------------------- Business | 57 | 92 | 149 Vacation | 72 | 74 | 146 ------------------------------------- Total | 129 | 166 | 295 You see that there are 129 Males out of 295 Travelers. So you put 129 ove 295 and get the fractionand that's the answer. b) on vacation given the traveler was male Since we are given that the traveler was male, then we can eliminate everything but just what is given, the Male column. So all that remains in the chart is this: Traveler | Male | Female | Total ------------------------------------- Business | 57 | | Vacation | 72 | | ------------------------------------- Total | 129 | | So there are 72 males on on vacation out of 129 given males. So we put 72 over 129 and get and reduce that reduces to ------------------------- c) female given the traveler was on business (Give solutions as fractions in lowest terms.) Since we are given that the traveler was on business, we can eliminate everything but just what is given, the Business row. So all that remains in the chart is this: Traveler | Male | Female | Total ------------------------------------- Business | 57 | 92 | 149 Vacation | | | ------------------------------------- Total | | | So there are 92 females on business out of 149 given travelers on business. So we put 92 over 129 and get which doesn't reduce. Edwin