Exercise instructions2.1 Weather Markov Prerequisite: Slide 2.30(1) The simple Markov chain model...

Question

Exercise  instructions2.1 Weather Markov  Prerequisite: Slide 2.30(1) The simple Markov chain model of  the weather had only two states "Sunny" and "Rainy"; add  a third state "Cloudy". The  transition probabilites are: Sunny  > Sunny 0.7, Sunny > Rainy 0.2, Sunny > Cloudy 0.1; Rainy > Sunny  0.4, Rainy > Rainy 0.4, Rainy > Cloudy 0.2; Cloudy > Sunny 0.3, Cloudy > Rainy  0.3, Cloudy > Cloudy 0.4. Implement  the transition matrix for this three-state weather model.(2) Use the three-state weather  model and matrix multiplication to calculate the probabilies for each state  on days XXXXXXXXXXAssume that the weather  is Sunny on day 1.

Robert · Accepted Answer

GIVEN QUESTION: 
1. The simple Markov chain model of the weather had only two states "Sunny" and 
"Rainy"; add a third state "Cloudy". The transition probabilities are: Sunny > Sunny 
0.7, Sunny > Rainy 0.2, Sunny > Cloudy 0.1; Rainy > Sunny 0.4, Rainy > Rainy 0.4, 
Rainy > Cloudy 0.2; Cloudy > Sunny 0.3, Cloudy > Rainy 0.3, Cloudy > Cloudy 0.4. 
Implement the transition matrix for this three-state weather model. 
2. Use the three-state weather model and matrix multiplication to calculate the 
probabilities for each state on days 2 - 5. Assume that the weather is Sunny on day 1.
SOLUTION:

Exercise instructions 2.1 Weather Markov Prerequisite: Slide 2.30 (1) The simple Markov chain model of the weather had only two states "Sunny" and "Rainy"; add a third state "Cloudy". The transition...

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