Question

The following table gives the number of people on the Titanic by class and whether or not they survived.

Class Survived Died Total

First class 202 123 325

Second class 118. 167. 285

Third class 178. 528. 706

Crew class 215 698 913

Total 713 1516 2229



Which of the following interpretations are correct?

(A). If a person survived, it is more likely that the person was in the crew than any other individual class.

(b). Given that a person was in the crew, it was more likely that the person died than survived.

(c). If a person died, it is likely that the person was in the third class or crew.

Answer 1

(A) correct
(B) correct
(C) correct

Explanation:

(A) is correct
Total survived = 713

Out of the 713 passengers who survived, the number of crew members = 215, the highest. The ratio of 215/713 is higher than any other ratio. This means 30% of those who survived were crew members. The next higher group of survivors was First Class passengers with a survival rate of 202/713 ≈ 28%

(B) is correct

There were 913 crew members. Out of this, 698 died 215 survived.
So it is more likely that given a person was a crew member, the person died than survived. That comprises 698/913 or 76% of crew members who died with only 24% survival rate

(C) is correct

There were 1516 passengers who died

Out of these, 528 + 698 = 1,226 were either third class or crew members and comprised 1226/1516 or approximately 81 percent of people who died