Researchers observed groups of dolphins off the coast of Ireland in 1998 to determine the activities that the dolphins engage in at different times of the day ("Activities of dolphins," 2013). The numbers in Table #B represent the number of dolphin groups that were engaging in a particular activity at specific times of the day.
a) What is the probability that a dolphin group is being observed in the morning and is engaging in travel?
b) What is the probability that a dolphin group is being observed at noon or is engaging in feeding?
c) What is the probability that a dolphin group is engaging in socializing given that it is afternoon?
d) What is the probability that a dolphin group is being observed in the afternoon given that it is engaging in socializing?
e) Are there any events from (morning, noon, afternoon, evening) that are mutually exclusive with any events from (travel, feed, socializing)? If so, which ones and why? If not, why not?
f) Is the event observed in the evening dependent or independent from the event of traveling? Please justify your answer with the appropriate computation.
Table #B: Dolphin Activity
Activity Period 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