3- I need help with this process

The following table lists the number of passengers who were on a cmise ship that sank and the number of passengers who survived, according to class of ticket. Use this information to complete parts (a) through (9). Children Women M Totals 0n Survived 0n Survived 0n Survived On Survived I Class 9 9 145 140 175 58 329 207 ll Class 26 26 167 76 169 14 362 116 Ill Class 75 28 91 77 463 76 629 181 Totals 1 10 63 403 293 807 148 1320 504 (a) What is the probability that a randomly selected passenger was third class? (Type an integer or decimal rounded to four decimal places as needed.) (b) What is the overall probability of surviving? (Type an integer or decimal rounded to four decimal places as needed.) (6) What is the probability of a third-class passenger surviving? (Type an integer or decimal rounded to four decimal places as needed.) (d) What is the probability of a man who was also in the third class surviving? (Type an integer or decimal rounded to four decimal places as needed.) (e) Given that the survivor was from third class, what is the probability that the survivor was a man? (Type an integer or decimal rounded to four decimal places as needed.) (7) Given that a woman survived, what is the probability that she was in second class? (Type an integer or decimal rounded to four decimal places as needed.) (9) Are the events secondclass survival (E) and woman survival (F) independent events? What does this imply! Choose the correct answer below. 0 A. The events are independent events because the probability of second-class survival, given that the passenger is a woman, is greater than the probability of second-class survival. 0 B. The events are not independent events because the probability of second-class survival, given that the passenger is a woman, is not equal to the probability of second-class survival. 0 C. The events are independent events because the probability of woman survival, given that the passenger is in the second class, is equal to the probability of woman survival. 0 D. The events are not independent events because the probability of second-class survival, given that the passenger is a woman, is equal to the probability of second-class survival. What does this imply? O A. The probability that a second-class passenger survived did not depend on whether that passenger was a man or a woman. 0 B. The probability that a second-class passenger survived depended on whether that passenger was a man or a woman. 0 C. There must have been more life boats for second-class passengers than for passengers in other classes. 0 D. There must be some causality between the two events