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In: Statistics and Probability

Scenario: On April 15, 1912, the Titanic struck an iceberg and rapidly sank with only 710...

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?

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