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 Tota Ist 133 58 19 2nd 95 26 121 3rd 30 57 137 Total 308 141 449 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 2nd 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 2nd class? Round final answer to 3 decimal places. d) What is the probability that a survivor was a female and in the 2nd class? Round final answer to 3 decimal places. e) What is the probability that a survivor was a female or in the 2nd class? Round final answer to 3 decimal places. f Are the events "survivor is a female" and "survivor is in 2nd class" mutually exclusive? Why or why not? Select an answer g) Are the events "survivor is a female" and "survivor is in 2nd class" independent? Why or why not? Select an answerResearchers watched dolphin groups off the coast of Ireland in 1998 to determine what activities the dolphin groups partake in at certain times of the day. The numbers in table below represent the number of dolphin groups that were partaking in an activity at certain times of days. Activity Morning Noon Afternoon Evening Total Travel 6 14 13 39 Feed 28 4 0 56 88 Socia 5 62 Total 72 15 23 79 189 a) What is the probability that a dolphin group is partaking in travel? Round your final answer to 3 decimal places. b) What is the probability that a dolphin group is around at noon? Round your final answer to 3 decimal places. c) What is the probability that a dolphin group is partaking in travel given that it is around at noon? Round your final answer to 3 decimal places. 0.074 d) What is the probability that a dolphin group is around at noon given that it is partaking in travel? Round your final answer to 3 decimal places. 0.254 e) What is the probability that a dolphin group is around in the afternoon given that it is partaking in travel? Round your final answer to 3 decimal places.f) What is the probability that a dolphin group is around in the afternoon and is partaking in travel? Round your final answer to 3 decimal places. g) What is the probability that a dolphin group is around in the afternoon or is partaking in travel? Round your final answer to 3 decimal places. h) Are the events dolphin group around in the afternoon and dolphin group partaking in travel mutually exclusive events? Why or why not? Select an answer i) Are the events dolphin group around at noon and dolphin group partaking in travel independent events? Why or why not? Select an