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?
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 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?
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