The number of people who survived the Titanic based on class and gender is in the following table. Suppose a person is picked at random from the survivors.

Class	Female	Male	Total
1st	133	58	191
2nd	95	26	121
3rd	81	59	140
Total	309	143	452

a) What is the probability that a survivor was female?

Round final answer to 3 decimal places. .684Correct b) What is the probability that a survivor was in the 3rd class?

Round final answer to 3 decimal places. 0.310Correct c) What is the probability that a survivor was a female given that the person was in 3rd class?

Round final answer to 3 decimal places. .579Correct d) What is the probability that a survivor was a female and in the 3rd class?

Round final answer to 3 decimal places. .179Correct e) What is the probability that a survivor was a female or in the 3rd class?

Round final answer to 3 decimal places. .815Incorrect f) Are the events "survivor is a female" and "survivor is in 3rd class" mutually exclusive? Why or why not? Select an answer Yes because P(female and 3rd class) = 0 No because P(female and 3rd class) = 0 Yes because P(female and 3rd class) is not equal to 0 No because P(female and 3rd class) is not equal to 0 Yes because P(female or 3rd class) = 0. No because P(female or 3rd class) = 0 Yes because P(female | 3rd class) = P(female) No because P(female | 3rd class) is not equal to P(female) Yes because P(female | 3rd class) = P(3rd class) No because P(female | 3rd class) is not equal to P(3rd class) Incorrect g) Are the events "survivor is a female" and "survivor is in 3rd class" independent?

Why or why not? Select an answer Yes because P(female and 3rd class) = 0 No because P(female and 3rd class) = 0 Yes because P(female and 3rd class) is not equal to 0 No because P(female and 3rd class) is not equal to 0 Yes because P(female or 3rd class) = 0. No because P(female or 3rd class) = 0 Yes because P(female | 3rd class) = P(female) No because P(female | 3rd class) is not equal to P(female) Yes because P(female | 3rd class) = P(3rd class) No because P(female | 3rd class) is not equal to P(3rd class)