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. SurvivedDiedTotalFirst class203122325Second class118167285Third class178528706Crew212696908Total71115132224 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? IndependentDependent

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Asked Nov 8, 2019
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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?

 

  • Independent
  • Dependent
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Expert Answer

Step 1

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Step 2

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.

 

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That is, N(A) 325 and N (S) 2224

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Step 3

The probability that the selected person is in the firs...

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N(A) P(A) N(S) 325 2224 0.460

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