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 93 25 118 3rd 81 57 138 Total 307 140 447 a) What is the probability that a survivor was female? Round final answer to 3 decimal places. b) What is the probability that a survivor was in the 3rd class? Round final answer to 3 decimal places. 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. d) What is the probability that a survivor was a female and in the 3rd class? Round final answer to 3 decimal places. e) What is the probability that a survivor was a female or in the 3rd class? Round final answer to 3 decimal places. f) Are the events "survivor is a female" and "survivor is in 3rd class" mutually exclusive? Why or why not? Select an answerg) Are the events "survivor is a female" and "survivor is in 3rd class" independent? Why or why not? Select an