Question
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
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.
Activity | Morning | Noon | Afternoon | Evening | Total |
Travel | 6 | 6 | 14 | 13 | 39 |
Feed | 28 | 4 | 0 | 56 | 88 |
Social | 38 | 5 | 9 | 10 | 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. 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. e) What is the probability that a dolphin group is around in the morning given that it is partaking in social activities?
Round your final answer to 3 decimal places. f) What is the probability that a dolphin group is around in the morning and is partaking in social activities?
Round your final answer to 3 decimal places. g) What is the probability that a dolphin group is around in the morning or is partaking in social activities?
Round your final answer to 3 decimal places. h) Are the events dolphin group around in the morning and dolphin group partaking in social activities mutually exclusive events?
Why or why not? Select an answer Yes because P(around in the morning and partaking in social activities) = 0 No because P(around in the morning and partaking in social activities) = 0 Yes because P(around in the morning and partaking in social activities) is not equal to 0 No because P(around in the morning and partaking in social activities) is not equal to 0 Yes because P(around in the morning or partaking in social activities) = 0. No because P(around in the morning or partaking in social activities) = 0 Yes because P(around in the morning | partaking in social activities) = P(around in the morning) No because P(around in the morning | partaking in social activities) is not equal to P(around in the morning) Yes because P(around in the morning | partaking in social activities) = P(partaking in social activities) No because P(around in the morning | partaking in social activities) is not equal to P(partaking in social activities) Incorrect i) Are the events dolphin group around at noon and dolphin group partaking in travel independent events?
Why or why not? Select an answer Yes because P(around at noon and partaking in travel) = 0 No because P(around at noon and partaking in travel) = 0 Yes because P(around at noon and partaking in travel) is not equal to 0 No because P(around at noon and partaking in travel) is not equal to 0 Yes because P(around at noon or partaking in travel) = 0. No because P(around at noon or partaking in travel) = 0 Yes because P(around at noon | partaking in travel) = P(around at noon) No because P(around at noon | partaking in travel) is not equal to P(around at noon) Yes because P(around at noon | partaking in travel) = P(partaking in travel) No because P(around at noon | partaking in travel) is not equal to P(partaking in travel)
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