Detective Judy Hopps is actively searching for criminals in Zootopia, which cons

Question

Detective Judy Hopps is actively searching for criminals in Zootopia, which consists of three districts: rainforest (R), savanna (S) and meadow (M). She does not mind going anywhere in the city to get the criminals. When she is in one of the districts in one morning, her next location in the next morning can be modeled as a Markov Chain. The transition probability is shown below. Determine where we can find her most likely in the steady state. In the matrix, the order of states is R (first row and column), S (second row and column) and M (third row and column). P = [0.5 0 0.5 0.4 0.6 0.0 0 0.3 0.7]

Explanation / Answer

Probability vector in the stable states is

1: 0.255
2: 0.319
3: 0.426

Hence, it is most likely to be in state 3.

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