A Markov system with two states satisfies the following rule. If you are in state 1 then of the time you change to state 2. • of the time you remain in state 2. If you are in state 2 then At time t = 0, there are 100 people in state 1 and no people in the other state. Write the transition matrix for this system using the state vector v = state 1 state 2

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 49E: Consider the Markov chain whose matrix of transition probabilities P is given in Example 7b. Show...
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A Markov system with two states satisfies the following rule.
If you are in state 1 then of the time you change to state 2.
If you are in state 2 then of the time you remain in state 2.
At time t = 0, there are 100 people in state 1 and no people in the other state.
state 1
Write the transition matrix for this system using the state vector v =
state 2
T =
Write the state vector for time t = 0.
Vo
Compute the state vectors for time t = 1 and t = 2.
Vị =
V2
Transcribed Image Text:A Markov system with two states satisfies the following rule. If you are in state 1 then of the time you change to state 2. If you are in state 2 then of the time you remain in state 2. At time t = 0, there are 100 people in state 1 and no people in the other state. state 1 Write the transition matrix for this system using the state vector v = state 2 T = Write the state vector for time t = 0. Vo Compute the state vectors for time t = 1 and t = 2. Vị = V2
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