QuestionThe migration pattern of residents in City A, B, and C, are given by the following transition matrix.
\begin{tabular}{l}
\multicolumn{1}{c}{ Initial } \\
\\
\\
\end{tabular}
What does the entry in the second row first column represent?
[This question is based on your assigned pre-reading/prep for the upcoming Assignment]
The probability that people from City A will move to City B
none of these
The probability that people from City B will move to City A
The probability that people from City A will move to City C.
Studdy Solution
STEP 1
1. The transition matrix represents the probabilities of moving from one city to another.
2. Each row in the matrix corresponds to the current city, and each column corresponds to the destination city.
3. The matrix is structured such that the first row and column correspond to City A, the second to City B, and the third to City C.
STEP 2
1. Identify the meaning of the matrix entries.
2. Determine the specific entry in the second row, first column.
3. Interpret the meaning of this entry in the context of the problem.
STEP 3
Identify the structure of the transition matrix:
STEP 4
Locate the entry in the second row, first column of the matrix:
STEP 5
Interpret the entry in the second row, first column:
- The second row corresponds to City B as the initial city.
- The first column corresponds to City A as the destination city.
- Therefore, the entry represents the probability that people from City B will move to City A.
The entry in the second row, first column represents:
"The probability that people from City B will move to City A."
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