On a certain ship that sank, the probability of survival was 0.294. Among first class passengers, it was 0.563. Were survival and ticket class independent? Explain. Choose the correct answer below. A. Yes , because the probability of survival and the probability of survival given a first class passenger are the same. B. No , because the probability of survival and the probability of survival given a first class passenger are not the same. C. Yes , because the probability of survival and the probability of survival given a first class passenger are not the same. D. No , because the probability of survival and the probability of survival given a first class passenger are the same.

Question

Mathematics

Sims

21 July, 01:53

On a certain ship that sank, the probability of survival was 0.294. Among first class passengers, it was 0.563. Were survival and ticket class independent? Explain. Choose the correct answer below. A. Yes , because the probability of survival and the probability of survival given a first class passenger are the same. B. No , because the probability of survival and the probability of survival given a first class passenger are not the same. C. Yes , because the probability of survival and the probability of survival given a first class passenger are not the same. D. No , because the probability of survival and the probability of survival given a first class passenger are the same.

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Santos Vang · Answer 1

B

Step-by-step explanation:

Probability of survival=P (S) = 0.294

Probability of Survival given 1st class = P (S|1st) = 0.563

For events to be independent P (S) = P (S|1st)

Here, P (S) is not equal to P (S | 1st)

So, A, C and D are eliminated