Researchers watched groups of dolphins off the coast of Ireland in 1998 to determine what activities...

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Researchers watched groups of dolphins off the coast of Irelandin 1998 to determine what activities the dolphins partake in atcertain times of the day. The numbers in the Table below representthe number of groups of dolphins that took part in an activity atcertain times of days. In Excel

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
Calculate the probability (in reduced fractionform) that a dolphin group is involved with travel.
Calculate the probability (in reduced fractionform) that a dolphin group is around in the morning.
Calculate the probability (in reduced fractionform) that a dolphin group is involved with travel, giventhat it is morning.
Calculate the probability (in reduced fractionform) that a dolphin group is around in the morning, giventhat it is socializing.
Calculate the probability (in reduced fractionform) that a dolphin group is around in the afternoon,given that it is feeding.
Calculate the probability (in reduced fractionform) that a dolphin group is either around in the eveningor is feeding.

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4.2 Ratings (528 Votes)

a)
required probability = 39/189 =13/63

b)
required probability = 72/189 = 8/21

c)
P(travel | morning) = 6/72 = 1/12


d)
P(morning | socializing) = 38/62 = 19/31


e)
P(afternoon | feeding) = 0


f)
P(evening or feeding) = (79+88-56)/189=111/189 = 37/63

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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