The following Table lists the number of passengers who were on the Titanic and the number of passengers who survived, according to class of ticket. Use this information to determine the following. (Round answers to 4 decimal places) Children On First Class 6 6 Second Class 24 24 Third Class 79 27 Totals 109 57 Survived Women On 144 165 93 402 Survived 140 76 80 296 Men On 175 168 462 805 Survived 57 14 75 146 Totals On Survived 325 203 357 114 634 182 1316 499 a. What is the probability that a randomly selected passenger was second class? b. What is the overall probability of surviving? C What is the probability of a first-class passenger surviving d. What is the probability of a child who was also in third class surviving e. Given that the survivor is from first class, what is the probability that she was a woman Given that a male has survived, what is the probability that he was in third class? f. g. Are the events third-class survival and male-survival independent events? What does this imply?