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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 Evening Total 13 39 56 88 10 62 79 189 What is the probability that a dolphin group is partaking in traveling? P(traveling) = What is the probability that a dolphin group is around in the afternoon? P(afternoon) = What is the probability that a dolphin group is partaking in traveling given that it is afternoon? P(traveling afternoon) = What is the probability that a dolphin group is around in the afternoon given that it is partaking in feeding? P(afternoon | feeding) = What is the probability that a dolphin group is around in the evening given that it is partaking in socializing? P(evening | socializing) = What is the probability that a dolphin group is around in the evening and is partaking in socializing? P(evening and socializing) = What is the probability that a dolphin group is around in the evening or is partaking in socializing? P(evening or socializing) = Are the events dolphin group around in the evening and dolphin group socializing mutually exclusive events? Why or why not? O Yes, the events dolphin group around evening and dolphin group socializing are mutually exclusive events, since a dolphin group can not be socializing evening. O No, the events dolphin group around evening and dolphin group socializing are not mutually exclusive events, since a dolphin group can be socializing evening. O No, the events dolphin group around evening and dolphin group socializing are not mutually exclusive events, since a dolphin group can not be socializing evening. O Yes, the events dolphin group around evening and dolphin group socializing are mutually exclusive events, since a dolphin group can be socializing evening. Are the events dolphin group around in the afternoon and dolphin group partaking in traveling independent events? Why or why not? O Yes, the events dolphin group around afternoon and dolphin group partaking in traveling are independent events, since P(traveling | afternoon) = P(traveling). ● Yes, the events dolphin group around afternoon and dolphin group partaking in traveling are independent events, since P(traveling | afternoon) = P(traveling). O No, the events dolphin group around afternoon and dolphin group partaking in traveling are not independent events, since P(traveling afternoon) = P(traveling). O No, the events dolphin group around afternoon and dolphin group partaking in traveling are not independent events, since P(traveling | afternoon) = P(traveling).

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 Evening Total 13 39 56 88 10 62 79 189 What is the probability that a dolphin group is partaking in traveling? P(traveling) = What is the probability that a dolphin group is around in the afternoon? P(afternoon) = What is the probability that a dolphin group is partaking in traveling given that it is afternoon? P(traveling afternoon) = What is the probability that a dolphin group is around in the afternoon given that it is partaking in feeding? P(afternoon | feeding) = What is the probability that a dolphin group is around in the evening given that it is partaking in socializing? P(evening | socializing) = What is the probability that a dolphin group is around in the evening and is partaking in socializing? P(evening and socializing) = What is the probability that a dolphin group is around in the evening or is partaking in socializing? P(evening or socializing) = Are the events dolphin group around in the evening and dolphin group socializing mutually exclusive events? Why or why not? O Yes, the events dolphin group around evening and dolphin group socializing are mutually exclusive events, since a dolphin group can not be socializing evening. O No, the events dolphin group around evening and dolphin group socializing are not mutually exclusive events, since a dolphin group can be socializing evening. O No, the events dolphin group around evening and dolphin group socializing are not mutually exclusive events, since a dolphin group can not be socializing evening. O Yes, the events dolphin group around evening and dolphin group socializing are mutually exclusive events, since a dolphin group can be socializing evening. Are the events dolphin group around in the afternoon and dolphin group partaking in traveling independent events? Why or why not? O Yes, the events dolphin group around afternoon and dolphin group partaking in traveling are independent events, since P(traveling | afternoon) = P(traveling). ● Yes, the events dolphin group around afternoon and dolphin group partaking in traveling are independent events, since P(traveling | afternoon) = P(traveling). O No, the events dolphin group around afternoon and dolphin group partaking in traveling are not independent events, since P(traveling afternoon) = P(traveling). O No, the events dolphin group around afternoon and dolphin group partaking in traveling are not independent events, since P(traveling | afternoon) = P(traveling).

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section: Chapter Questions
Problem 1RP
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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 Evening Total Traveling 6 6 13 39 Feeding 28 4 56 88 Socializing 38 5 10 62 Total 72 15 79 189 14 0 9 23 What is the probability that a dolphin group is partaking in traveling? P(traveling) = What is the probability that a dolphin group is around in the afternoon? P(afternoon) = What is the probability that a dolphin group is partaking in traveling given that it is afternoon? P(traveling | afternoon) = What is the probability that a dolphin group is around in the afternoon given that it is partaking in feeding? P(afternoon | feeding) = What is the probability that a dolphin group is around in the evening given that it is partaking in socializing? P(evening socializing): = What is the probability that a dolphin group is around in the evening and is partaking in socializing? P(evening and socializing) = What is the probability that a dolphin group is around in the evening or is partaking in socializing? P(evening or socializing) = Are the events dolphin group around in the evening and dolphin group socializing mutually exclusive events? Why or why not? O Yes, the events dolphin group around evening and dolphin group socializing are mutually exclusive events, since a dolphin group can not be socializing evening. O No, the events dolphin group around evening and dolphin group socializing are not mutually exclusive events, since a dolphin group can be socializing evening. O No, the events dolphin group around evening and dolphin group socializing are not mutually exclusive events, since a dolphin group can not be socializing evening. O Yes, the events dolphin group around evening and dolphin group socializing are mutually exclusive events, since a dolphin group can be socializing evening. Are the events dolphin group around in the afternoon and dolphin group partaking in traveling independent events? Why or why not? O Yes, the events dolphin group around afternoon and dolphin group partaking in traveling are independent events, since P(traveling | afternoon) = P(traveling). ● Yes, the events dolphin group around afternoon and dolphin group partaking in traveling are independent events, since P(traveling | afternoon) * P(traveling). O No, the events dolphin group around afternoon and dolphin group partaking in traveling are not independent events, since P(traveling | afternoon) = P(traveling). O No, the events dolphin group around afternoon and dolphin group partaking in traveling are not independent events, since P(traveling | afternoon) = P(traveling).
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 Evening Total Traveling 6 6 13 39 Feeding 28 4 56 88 Socializing 38 5 10 62 Total 72 15 79 189 14 0 9 23 What is the probability that a dolphin group is partaking in traveling? P(traveling) = What is the probability that a dolphin group is around in the afternoon? P(afternoon) = What is the probability that a dolphin group is partaking in traveling given that it is afternoon? P(traveling | afternoon) = What is the probability that a dolphin group is around in the afternoon given that it is partaking in feeding? P(afternoon | feeding) = What is the probability that a dolphin group is around in the evening given that it is partaking in socializing? P(evening socializing): = What is the probability that a dolphin group is around in the evening and is partaking in socializing? P(evening and socializing) = What is the probability that a dolphin group is around in the evening or is partaking in socializing? P(evening or socializing) = Are the events dolphin group around in the evening and dolphin group socializing mutually exclusive events? Why or why not? O Yes, the events dolphin group around evening and dolphin group socializing are mutually exclusive events, since a dolphin group can not be socializing evening. O No, the events dolphin group around evening and dolphin group socializing are not mutually exclusive events, since a dolphin group can be socializing evening. O No, the events dolphin group around evening and dolphin group socializing are not mutually exclusive events, since a dolphin group can not be socializing evening. O Yes, the events dolphin group around evening and dolphin group socializing are mutually exclusive events, since a dolphin group can be socializing evening. Are the events dolphin group around in the afternoon and dolphin group partaking in traveling independent events? Why or why not? O Yes, the events dolphin group around afternoon and dolphin group partaking in traveling are independent events, since P(traveling | afternoon) = P(traveling). ● Yes, the events dolphin group around afternoon and dolphin group partaking in traveling are independent events, since P(traveling | afternoon) * P(traveling). O No, the events dolphin group around afternoon and dolphin group partaking in traveling are not independent events, since P(traveling | afternoon) = P(traveling). O No, the events dolphin group around afternoon and dolphin group partaking in traveling are not independent events, since P(traveling | afternoon) = P(traveling).
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