In: Statistics and Probability
Scenario: On April 15, 1912, the Titanic struck an iceberg and rapidly sank with only 710 of her 2,204 passengers and crew surviving. Data on survival of passengers are summarized in the table below.
Survived (S) | Did Not Survive (S') | Total | |
First Class Passengers (A) | 201 | 123 | 324 |
Second Class Passengers (B) | 118 | 166 | 284 |
Third Class Passengers (C) | 181 | 528 | 709 |
Total Passengers | 500 | 817 | 1317 |
(Analysis) (Additional calculations may be necessary).
1.Are the events “passenger survived” and “passenger was in first class” independent?
2.Are the events “passenger survived” and “passenger was in third class” independent?
3.Did all passengers aboard the Titanic have the same probability of survival?