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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

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

\[T=\begin{bmatrix} 0 & 0.4 \\ 1 & 0.6 \end{bmatrix}\]

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

The proposal changes its transition rule according to the previous state as well as the current state

1 mark

Evaluate the matrix and the stated dependence rule. Which conclusion is correct?