If Claude is happy one day, the probability that she's happy the next day is 1. If she's sad one day, the probability that she's sad the next day is 0.2. Over the long term, the probability that she's happy on any day is 1 (Hint: you can answer this using logic and maybe a drawing, equations needed.) no If Hau-Tieng is happy one day, the probability that he's happy the next day is 0.4. If he's sad one day, the probability that he's sad the next day is 1. Over the long term, the probability that he's happy on any day is 0 (Hint: you can answer this using logic and maybe a drawing, no equations needed.) If Suraya is happy one day, the probability that she's happy the next day is 0.7. If Suraya is sad one day, the probability that she's sad the nex day is 0.6. Over the long term, the probability that she's happy on any day is 57.14 (Hint: time to write down a transition matrix and use Markov Chain tools...)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 44E
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If Claude is happy one day, the probability that she's happy the next day is 1. If she's sad one day, the probability that she's sad the next day is
0.2. Over the long term, the probability that she's happy on any day is 1 (Hint: you can answer this using logic and maybe a drawing, no
equations needed.)
If Hau-Tieng is happy one day, the probability that he's happy the next day is 0.4. If he's sad one day, the probability that he's sad the next day
is 1. Over the long term, the probability that he's happy on any day is 0 (Hint: you can answer this using logic and maybe a drawing,
no
equations needed.)
If Suraya is happy one day, the probability that she's happy the next day is 0.7. If Suraya is sad one day, the probability that she's sad the next
day is 0.6. Over the long term, the probability that she's happy on any day is 57.14 (Hint: time to write down a transition matrix and use
Markov Chain tools...)
Transcribed Image Text:If Claude is happy one day, the probability that she's happy the next day is 1. If she's sad one day, the probability that she's sad the next day is 0.2. Over the long term, the probability that she's happy on any day is 1 (Hint: you can answer this using logic and maybe a drawing, no equations needed.) If Hau-Tieng is happy one day, the probability that he's happy the next day is 0.4. If he's sad one day, the probability that he's sad the next day is 1. Over the long term, the probability that he's happy on any day is 0 (Hint: you can answer this using logic and maybe a drawing, no equations needed.) If Suraya is happy one day, the probability that she's happy the next day is 0.7. If Suraya is sad one day, the probability that she's sad the next day is 0.6. Over the long term, the probability that she's happy on any day is 57.14 (Hint: time to write down a transition matrix and use Markov Chain tools...)
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