Points: 0.83 of 1 The accompanying table shows survival by ticket class on the sinking of a cruise ship. Complete parts a through c below. Click the icon to view the table of survival by ticket class. a) Find the conditional probability of survival for each type of ticket. P(Survived | First-class) = 0.628 P(Survived | Second-class) = 0.4 P(Survived | Third-class) = 0.250 X P(Survived | Crew) = 0.241 Survival By Ticket Class (Round to three decimal places as needed.) b) Draw a probability tree for this situation. First Second Third Crew Total Alive 191 118 170 219 698 O A. B. 27.4% 16.9% 24.4% 31.4% 100% O D. Alive Dead 113 177 511 689 1490 -0.0873 7.6% Ist 1st 0.628 1st 11.9% 34.3% 46.2% 100% 0.274 0.0873 0.139 Dead - 0.0540 0.139 2nd 0.400 Alive 0.169 0.0540 Alive 0.319 3rd -0.0778 2nd 0.250 0.0778 2nd 0. 244 0.135 Dead 0.135 Crew 0.1000 0.314 0.1000 0.241 Print Done Ist Alive 0.0517 -0.0517 3rd 0.372 3rd 0.076 0.311 Dead - 0.0810 0.311 2nd Dead 0.119 0.0810 0.600 0.681 3rd Alive -0.2333 0.689 0.2333 0.343 70.2333 Crew 0.750 Crew 0.241 - 0.1000 0.415 Dead Crew Crew 0.415 Dead 0 462 0.3150 0.759 0.3150 0.759 0.3150 0.3150 0.585 c) Given that a passenger died, what is the probability they had a third-class ticket? (Round to three decimal places as needed.)