Consider a Decision Situation with Four Possible States of Nature

question 35

Essay

Consider a decision situation with four possible states of nature: s₁, s₂, s₃, and s₄. The prior probabilities are P(s₁) = 0.35, P(s₂) = 0.15, P(s₃) = 0.20, P(s₄) = 0.30. The conditional probabilities are P(C|s₁) = 0.2, P(C|s₂) = 0.09, P(C|s₃) = 0.15, and P(C|s₄) = 0.20. Find the revised (posterior) probabilities P(s₁|C), P(s₂|C), P(s₃|C), and P(s₄|C).

---

Definitions:

Common Actions

Typical or widely shared activities, behaviors, or responses among individuals or groups in specific situations or contexts.

Alzheimer's Disease

A progressive neurological disorder characterized by memory loss, cognitive decline, and personality changes, resulting from the degeneration of brain cells.

Cognitive Impairment

A reduction in one's ability to think, concentrate, formulate ideas, reason, and remember compared to an individual's previous level of functioning.

Neurocognitive Disorder

A category of mental health disorders that primarily affect learning, memory, perception, and problem-solving abilities.