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 First Course in Probability (10th Edition)
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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.

a) What is the probability that a dolphin group is partaking in social activities?

b) What is the probability that a dolphin group is around in the afternoon?

c) What is the probability that a dolphin group is partaking in social activities given that it is around in the afternoon?

d) What is the probability that a dolphin group is around in the afternoon given that it is partaking in social activities?

e) What is the probability that a dolphin group is around in the morning given that it is partaking in social activities?

f) What is the probability that a dolphin group is around in the morning and is partaking in social activities?

g) What is the probability that a dolphin group is around in the morning or is partaking in social activities?

h) Are the events dolphin group around in the morning and dolphin group partaking in social activities mutually exclusive events?

    Why or why not?

i) Are the events dolphin group around in the afternoon and dolphin group partaking in social activities independent events?

    Why or why not?

 

Hello, can you please help me understand how to solve this. Thank you! 

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
Transcribed Image Text: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
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