- Dolphin behavior (seen in HW5). The behavior of dolphins in the presence of tour boats in Patagonia, Argentina is studied in Dans et al. (2012). A Markov chain model is developed, with state space consisting of five primary dolphin activities (socializing, traveling, milling, feeding, and resting). The following transition matrix is obtained. (0.84 0.11 0.01 0.04 0.03 0.80 0.04 0.10 0.03 P = 0.01 0.15 0.70 0.07 0.07 0.03 0.19 0.02 0.75 0.01 \0.03 0.09 0.05 0.83/ Use technology to find the long-term distribution of dolphin activity. b. using this result, predict what behavior is the most likely to be observe long-term a.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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7. Dolphin behavior (seen in HW5). The behavior of dolphins in the presence of tour boats in
Patagonia, Argentina is studied in Dans et al. (2012). A Markov chain model is developed, with
state space consisting of five primary dolphin activities (socializing, traveling, milling, feeding,
and resting). The following transition matrix is obtained.
/0.84 0.11 0.01 0.04
0.03 0.80 0.04 0.10 0.03
P = | 0.01 0.15 0.70 0.07 0.07
0.03 0.19 0.02 0.75 0.01
\0.03 0.09 0.05
0.83/
Use technology to find the long-term distribution of dolphin activity.
b. using this result, predict what behavior is the most likely to be observe long-term
a.
Transcribed Image Text:7. Dolphin behavior (seen in HW5). The behavior of dolphins in the presence of tour boats in Patagonia, Argentina is studied in Dans et al. (2012). A Markov chain model is developed, with state space consisting of five primary dolphin activities (socializing, traveling, milling, feeding, and resting). The following transition matrix is obtained. /0.84 0.11 0.01 0.04 0.03 0.80 0.04 0.10 0.03 P = | 0.01 0.15 0.70 0.07 0.07 0.03 0.19 0.02 0.75 0.01 \0.03 0.09 0.05 0.83/ Use technology to find the long-term distribution of dolphin activity. b. using this result, predict what behavior is the most likely to be observe long-term a.
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