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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. Activity Morning Noon Afternoon Travel 6 4 5 15 Feed Social Total 6 28 38 72 14 0 9 23 Evening 13 56 88 10 62 79 189 Total 39 a) What is the probability that a dolphin group is partaking in social activities? Round your final answer to 3 decimal places. b) What is the probability that a dolphin group is around in the afternoon? Round your final answer to 3 decimal places. c) What is the probability that a dolphin group is partaking in social activities given that it is around in the afternoon? Round your final answer to 3 decimal places. d) What is the probability that a dolphin group is around in the afternoon given that it is partaking in social activities? Round your final answer to 3 decimal places.

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 Travel 6 4 5 15 Feed Social Total 6 28 38 72 14 0 9 23 Evening 13 56 88 10 62 79 189 Total 39 a) What is the probability that a dolphin group is partaking in social activities? Round your final answer to 3 decimal places. b) What is the probability that a dolphin group is around in the afternoon? Round your final answer to 3 decimal places. c) What is the probability that a dolphin group is partaking in social activities given that it is around in the afternoon? Round your final answer to 3 decimal places. d) What is the probability that a dolphin group is around in the afternoon given that it is partaking in social activities? Round your final answer to 3 decimal places.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.1: Sets
Problem 93E
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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.

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 Travel Feed Social Total Morning Noon 6 6 28 4 38 5 72 15 Afternoon 14 0 9 23 Evening Total 13 39 56 88 10 62 79 189 a) What is the probability that a dolphin group is partaking in social activities? Round your final answer to 3 decimal places. b) What is the probability that a dolphin group is around in the afternoon? Round your final answer to 3 decimal places. c) What is the probability that a dolphin group is partaking in social activities given that it is around in the afternoon? Round your final answer to 3 decimal places. d) What is the probability that a dolphin group is around in the afternoon given that it is partaking in social activities? Round your final answer to 3 decimal places.
Transcribed Image Text: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 Travel Feed Social Total Morning Noon 6 6 28 4 38 5 72 15 Afternoon 14 0 9 23 Evening Total 13 39 56 88 10 62 79 189 a) What is the probability that a dolphin group is partaking in social activities? Round your final answer to 3 decimal places. b) What is the probability that a dolphin group is around in the afternoon? Round your final answer to 3 decimal places. c) What is the probability that a dolphin group is partaking in social activities given that it is around in the afternoon? Round your final answer to 3 decimal places. d) What is the probability that a dolphin group is around in the afternoon given that it is partaking in social activities? 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? Select an answer i) Are the events dolphin group around in the afternoon and dolphin group partaking in social activities independent events? Why or why not? Select an answer
Transcribed Image Text: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? Select an answer i) Are the events dolphin group around in the afternoon and dolphin group partaking in social activities independent events? Why or why not? Select an answer
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