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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 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) =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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### Probability of Observing Dolphin Groups This section focuses on calculating probabilities involving dolphin groups based on specific conditions. Use the provided scenarios to determine the likelihood of events related to dolphin group activities. 1. **Probability of Afternoon Presence Given Feeding Activity** - **P(afternoon | feeding) =** [Box for input] 2. **Probability of Evening Presence Given Socializing Activity** - **P(evening | socializing) =** [Box for input] 3. **Probability of Evening Presence and Socializing Activity** - **P(evening and socializing) =** [Box for input] 4. **Probability of Evening Presence or Socializing Activity** - **P(evening or socializing) =** [Box for input] ### Event Exclusivity Analysis Assess whether the events "dolphin group around in the evening" and "dolphin group socializing" are mutually exclusive. Choose the most appropriate answer based on the definitions of mutually exclusive events. - ⃝ Yes, the events are mutually exclusive, since a dolphin group cannot be socializing in the evening. - ⃝ No, the events are not mutually exclusive, since a dolphin group can be socializing in the evening. - ⃝ No, the events are not mutually exclusive, since a dolphin group cannot be socializing in the evening. - ⃝ Yes, the events are mutually exclusive, since a dolphin group can be socializing in the evening. Use these scenarios to enhance your understanding of conditional probability and event exclusivity.
Transcribed Image Text:### Probability of Observing Dolphin Groups This section focuses on calculating probabilities involving dolphin groups based on specific conditions. Use the provided scenarios to determine the likelihood of events related to dolphin group activities. 1. **Probability of Afternoon Presence Given Feeding Activity** - **P(afternoon | feeding) =** [Box for input] 2. **Probability of Evening Presence Given Socializing Activity** - **P(evening | socializing) =** [Box for input] 3. **Probability of Evening Presence and Socializing Activity** - **P(evening and socializing) =** [Box for input] 4. **Probability of Evening Presence or Socializing Activity** - **P(evening or socializing) =** [Box for input] ### Event Exclusivity Analysis Assess whether the events "dolphin group around in the evening" and "dolphin group socializing" are mutually exclusive. Choose the most appropriate answer based on the definitions of mutually exclusive events. - ⃝ Yes, the events are mutually exclusive, since a dolphin group cannot be socializing in the evening. - ⃝ No, the events are not mutually exclusive, since a dolphin group can be socializing in the evening. - ⃝ No, the events are not mutually exclusive, since a dolphin group cannot be socializing in the evening. - ⃝ Yes, the events are mutually exclusive, since a dolphin group can be socializing in the evening. Use these scenarios to enhance your understanding of conditional probability and event exclusivity.
**Research Overview** 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. **Table: Dolphin Activities by Period** | Activity | Morning | Noon | Afternoon | Evening | Total | |-------------|---------|------|-----------|---------|-------| | Traveling | 6 | 6 | 14 | 13 | 39 | | Feeding | 28 | 4 | 0 | 56 | 88 | | Socializing | 38 | 5 | 9 | 10 | 62 | | **Total** | 72 | 15 | 23 | 79 | 189 | - **Traveling:** Dolphins were observed traveling in groups of 6 in the morning, 6 at noon, 14 in the afternoon, and 13 in the evening, totaling 39 groups. - **Feeding:** Dolphins were observed feeding in 28 groups in the morning, 4 at noon, and 56 in the evening. No feeding groups were observed in the afternoon, totaling 88 groups. - **Socializing:** Dolphins were socializing in 38 groups in the morning, 5 at noon, 9 in the afternoon, and 10 in the evening, totaling 62 groups. - **Overall Total:** Across all activities and times, there were 72 groups in the morning, 15 at noon, 23 in the afternoon, and 79 in the evening, making a total of 189 groups observed.
Transcribed Image Text:**Research Overview** 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. **Table: Dolphin Activities by Period** | Activity | Morning | Noon | Afternoon | Evening | Total | |-------------|---------|------|-----------|---------|-------| | Traveling | 6 | 6 | 14 | 13 | 39 | | Feeding | 28 | 4 | 0 | 56 | 88 | | Socializing | 38 | 5 | 9 | 10 | 62 | | **Total** | 72 | 15 | 23 | 79 | 189 | - **Traveling:** Dolphins were observed traveling in groups of 6 in the morning, 6 at noon, 14 in the afternoon, and 13 in the evening, totaling 39 groups. - **Feeding:** Dolphins were observed feeding in 28 groups in the morning, 4 at noon, and 56 in the evening. No feeding groups were observed in the afternoon, totaling 88 groups. - **Socializing:** Dolphins were socializing in 38 groups in the morning, 5 at noon, 9 in the afternoon, and 10 in the evening, totaling 62 groups. - **Overall Total:** Across all activities and times, there were 72 groups in the morning, 15 at noon, 23 in the afternoon, and 79 in the evening, making a total of 189 groups observed.
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