As you probably know, the Titantic, on its maiden voyage, hit an iceberg and sank in the matter of hours. The following table summarizes the classes of people and their surviving.
Survived | Died | Total | |
First class | 203 | 122 | 325 |
Second class | 118 | 167 | 285 |
Third class | 178 | 528 | 706 |
Crew | 212 | 696 | 908 |
Total | 711 | 1513 | 2224 |
Compute each probability to 3 decimal places for a person selected at random.
D. the person was in first class or died.
E. the person was in first class given they died.
F. the person died given they were in first class.
G. Based on the data, was whether a person died and the class of the person, dependent or independent?
Note:
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Let A be the event that the selected person is in the first class.
There are 325 people in the first class and the total number of people in all the classes is 2224.
The probability that the selected person is in the firs...
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