Researchers 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. Social --- 62 - - - mum-I- - - m a} What is the probability that a dolphin group is partaking in social activities? Round your final answer to 3 decimal places. b] What is the probability that a dolphin group is around in the afternoon? Round your final answer to 3 decimal places. c} What is the probability that a dolphin group is partaking in social activities given that it is around in the afternoon? Round your final answer to 3 decimal places. d] What is the probability that a dolphin group is around in the afternoon given that it is partaking in social activities? Round your final answer to 3 decimal places. e] What is the probability that a dolphin group is around in the evening 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 evening 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 evening or is partaking in travel? Round your final answer to 3 decimal places. h} Are the events dolphin group around in the evening and dolphin group partaking in travel mutually exclusive events? Why or why not? Select an answer Yes because Pfaround in Ihe evening and partaking in travel] = I] i] ' No because Ptarolund in the evening and paltaking in travel] = I] Yes because Ptaround in Ihe evening and partaking in travel] not equal to I] No because Ptarolund in the evening and paltaking in travel] is not equal to I] Yes because Pfaround in Ihe evening or parlaking in travel] = ll. aking in so No because Ptarolund in the evening or parlaking in travel] = [II Yes because Ptaround in Ihe evening I partaking in travel] = P{arouncl in the evening] No because Ptarolund in the evening I partaking in bavel] is not son at to Ptaround in Ihe evening] Yes because Ptaround in Ihe evening I partaking in travel] = P{parlaking in travel] E No because Pfarolund in the evening I partaking in travel] is not equal to prarlsaking in travel] 1 i] Are the events dolphin group around in the afternoon and dolphin group partaking in social activities independent events? Why or whyr not? Select an answer Yes because P(around in the afternoon and partaking in social activities) = 0 No because P(around in the afternoon and partaking in social activities) = 0 Yes because P(around in the afternoon and partaking in social activities) is not equal to 0 No because P(around in the afternoon and partaking in social activities) is not equal to 0 Yes because P(around in the afternoon or partaking in social activities) = 0. No because P(around in the afternoon or partaking in social activities) = 0 Yes because P(around in the afternoon | partaking in social activities) = P(around in the afternoon) No because P(around in the afternoon | partaking in social activities) is not equal to P(around in the afternoon) Yes because P(around in the afternoon | partaking in social activities) = P(partaking in social activities) No because P(around in the afternoon | partaking in social activities) is not equal to P(partaking in social activities)