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

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Basic Math

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

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

Answer & Explanation Solved by verified expert
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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