Researchers watched groups of dolphins off the coast of Ireland in 1998 to determine what activities the dolphins partake in at certain times of the day ("Activities of dolphin," 2013). The numbers in the table represent the number of groups of dolphins that were partaking in an activity at certain times of days. Enter answers as a fraction or a decimal rounded to four places.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Researchers watched groups of dolphins off the coast of Ireland in 1998 to determine what activities the
dolphins partake in at certain times of the day ("Activities of dolphin," 2013). The numbers in the table
represent the number of groups of dolphins that were partaking in an activity at certain times of days.
Enter answers as a fraction or a decimal rounded to four places.
Period
Activity Morning Noon Afternoon
Traveling
6
6
Feeding
28
4
Socializing
38
5
Total
72 15
14
0
9
23
What is the probability that a dolphin group is partaking in socializing?
P(socializing) 0.3280
Evening Total
13 39
56
88
10
62
79 189
What is the probability that a dolphin group is around in the evening?
P(evening) = 0.4180
What is the probability that a dolphin group is partaking in socializing given that it is evening?
P(socializing evening)
0.1266
=
=
What is the probability that a dolphin group is around in the evening given that it is partaking in feeding?
56
P(evening | feeding)
79
X
What is the probability that a dolphin group is around in the afternoon given that it is partaking in
traveling?
P(afternoon | traveling) =
What is the probability that a dolphin group is around in the afternoon and is partaking in traveling?
14
P(afternoon and traveling) =
23
X
What is the probability that a dolphin group is around in the afternoon or is partaking in traveling?
P(afternoon or traveling) =
Are the events dolphin group around in the afternoon and dolphin group traveling mutually exclusive
events? Why or why not?
Transcribed Image Text:Researchers watched groups of dolphins off the coast of Ireland in 1998 to determine what activities the dolphins partake in at certain times of the day ("Activities of dolphin," 2013). The numbers in the table represent the number of groups of dolphins that were partaking in an activity at certain times of days. Enter answers as a fraction or a decimal rounded to four places. Period Activity Morning Noon Afternoon Traveling 6 6 Feeding 28 4 Socializing 38 5 Total 72 15 14 0 9 23 What is the probability that a dolphin group is partaking in socializing? P(socializing) 0.3280 Evening Total 13 39 56 88 10 62 79 189 What is the probability that a dolphin group is around in the evening? P(evening) = 0.4180 What is the probability that a dolphin group is partaking in socializing given that it is evening? P(socializing evening) 0.1266 = = What is the probability that a dolphin group is around in the evening given that it is partaking in feeding? 56 P(evening | feeding) 79 X What is the probability that a dolphin group is around in the afternoon given that it is partaking in traveling? P(afternoon | traveling) = What is the probability that a dolphin group is around in the afternoon and is partaking in traveling? 14 P(afternoon and traveling) = 23 X What is the probability that a dolphin group is around in the afternoon or is partaking in traveling? P(afternoon or traveling) = Are the events dolphin group around in the afternoon and dolphin group traveling mutually exclusive events? Why or why not?
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