4. [4] The table contains data on the passengers and crew aboard the Titanic. An

Question

4. [4] The table contains data on the passengers and crew aboard the Titanic. Answer the questions below based on the table. Child Child Adult AdultMale Female Class Male Female (boy)(girl) Total 325 9311 13 285 165 4831 706 885 425 64 45 2201 175 168 144 When answering probability questions, write First second each question in function notation as done in Third 462103 the examples, then equal sign, followed by Crew the answer (1/2 a point of the grade). 862 23 0 0 Total1667 Determine the following two events are independent: First class passenger, Adult Female. You must show work that shows the events are or are not independent. You must state at the end if your work determines if the events are or are not independent.

Explanation / Answer

Ans:

For two events A and B to be independent:

P(A and B)=P(A)*P(B)

Let

A=First class passenger

B=Adult Female

P(A and B)=144/2201=0.0654

P(A)=325/2201=0.1477

P(B)=425/2201=0.1931

P(A)*P(B)=0.1477*0.1931=0.0285

As,P(A and B) is not equal to P(A)*P(B),two events are not independent.

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