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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 termly record classifies enrolled students by their selected subject area. State categories are recorded at the end of each model period

Use the state order mathematics and science. One application represents one term. In \(T\), each column is a current state and each row is a next state

\[T=\begin{bmatrix} 0 & 0.5 \\ -0.25 & 0.5 \end{bmatrix}\]

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

Do the supplied matrix and assumptions define a fixed-population one-step model?