---## Understanding State Transition Diagrams### Task: Write Down the Transition MatrixHere, we have a state transition diagram featuring five states. Your task is to write down the transition matrix associated with this diagram. A transition matrix represents the probabilities of moving from one state to another in a matrix format.### State Transition DiagramThe diagram consists of five states, labeled 1 through 5. The transitions between these states are marked with the respective probabilities. Each state can transition to one or more other states, and these transitions are indicated with arrows and labeled with probabilities. Here's a detailed breakdown of the state transitions:- **State 1:** - Transitions to State 1 with probability \( \frac{1}{3} \) - Transitions to State 2 with probability \( \frac{2}{3} \)- **State 2:** - Transitions to State 2 with probability \( \frac{1}{3} \) - Transitions to State 3 with probability \( \frac{1}{3} \) - Transitions to State 4 with probability \( \frac{1}{3} \)- **State 3:** - Transitions to State 5 with probability \( \frac{1}{2} \) - Transitions to State 2 with probability \( \frac{1}{2} \)- **State 4:** - Transitions to State 2 with probability \( \frac{2}{3} \) - Transitions to State 1 with probability \( \frac{1}{3} \)- **State 5:** - Transitions to State 1 with probability \( \frac{1}{2} \) - Transitions to State 4 with probability \( \frac{1}{2} \)Below this detailed transition diagram, you are prompted to write down the transition matrix.### Transition MatrixTo write the transition matrix, list the probabilities of transitioning from each state (rows) to every other state (columns). Here is an example format for the transition matrix based on the provided diagram:| From \ To | 1 | 2 | 3 | 4 | 5 ||-----------|-------|-------|-------|-------|-------|| **1** | 1/3 | 2/3 | 0 |

Name: ---## Understanding State Transition Diagrams### Task: Write Down the
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: ---## Understanding State Transition Diagrams### Task: Write Down the Transition MatrixHere, we have a state transition diagram featuring five states. Your task is to write down the transition matrix associated with this diagram. A transition matrix