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Check fixed-population and regular transition models

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
valid-regular, two states, choice-onlyvalid-regular, three states, choice-onlyvalid-reducible, two states, choice-onlyvalid-reducible, three states, choice-onlyinvalid-column-total, two states, choice-onlyinvalid-column-total, three states, choice-onlyinvalid-negative, two states, choice-onlyinvalid-negative, three states, choice-onlyhistory-dependent, two states, choice-onlyhistory-dependent, three states, choice-onlyNOWMix of allRecommended
Question 1 of 8

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A weekly record classifies commuters by their main travel mode. The proposed rule is examined one model period at a time

Use the state order car, bus, and train. One application represents one week. In \(T\), each column is a current state and each row is a next state

\[T=\begin{bmatrix} 0.25 & 0 & 0.75 \\ -0.25 & 0.25 & 0 \\ 0 & 0.75 & 0.25 \end{bmatrix}\]

All calculations use exact rational entries. Do not round an intermediate matrix entry or column total

The proposal says that the next state depends only on the current state

1 mark

Which statement correctly checks whether this is a fixed-population one-step model?