Based on the transition matrix and associated diagram below: This year A_B_C_D 0.2 0 50 B 0.7 0 0 0 C 0 0.1 0.5 D Next Year A 1000 0.03 0 0 0.4 0.9 A 0.7 0.2 B 0.1 50 0.4 C ZD 0.03 0.5 1000 Which stage (A-D) in the model has the highest reproduction? Assume each transition is only either reproduction or survival (and not both). 0.9

Human Anatomy & Physiology (11th Edition)
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Chapter1: The Human Body: An Orientation
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Based on the transition matrix and associated diagram below:

**Transition Matrix:**

| Next Year | A   | B   | C   | D    |
|-----------|-----|-----|-----|------|
| A         | 0.2 | 0   | 50  | 1000 |
| B         | 0.7 | 0   | 0   | 0    |
| C         | 0   | 0.1 | 0.5 | 0.03 |
| D         | 0   | 0   | 0.4 | 0.9  |

**Diagram Explanation:**

- **State A**:
  - Self-loop with probability 0.2 (survival)
  - Transition to State B with probability 0.7
  - Reproduction with 50 offspring going to State C and 1000 to State D

- **State B**:
  - Transition back to State A with probability 0.1 (reproduction)

- **State C**:
  - Transition to itself with probability 0.5 (survival)
  - Transition to State D with probability 0.03
  - Transition to State D with 0.4 (survival)

- **State D**:
  - Self-loop with probability 0.9 (survival)
  - Reproduction with 0.5 offspring going to State A

**Question:**

Which stage (A-D) in the model has the highest reproduction? Assume each transition is only either reproduction or survival (and not both).

- A
- B
- C
- D
Transcribed Image Text:Based on the transition matrix and associated diagram below: **Transition Matrix:** | Next Year | A | B | C | D | |-----------|-----|-----|-----|------| | A | 0.2 | 0 | 50 | 1000 | | B | 0.7 | 0 | 0 | 0 | | C | 0 | 0.1 | 0.5 | 0.03 | | D | 0 | 0 | 0.4 | 0.9 | **Diagram Explanation:** - **State A**: - Self-loop with probability 0.2 (survival) - Transition to State B with probability 0.7 - Reproduction with 50 offspring going to State C and 1000 to State D - **State B**: - Transition back to State A with probability 0.1 (reproduction) - **State C**: - Transition to itself with probability 0.5 (survival) - Transition to State D with probability 0.03 - Transition to State D with 0.4 (survival) - **State D**: - Self-loop with probability 0.9 (survival) - Reproduction with 0.5 offspring going to State A **Question:** Which stage (A-D) in the model has the highest reproduction? Assume each transition is only either reproduction or survival (and not both). - A - B - C - D
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