{
  "schema": "ml-prep/item@1",
  "item": {
    "id": "mit-18-05-s2022-exam2-ii2",
    "area": "mathematics",
    "topic": "statistics",
    "origin": "external",
    "title": "Bayesian posterior density and normalization",
    "skills": [
      "bayesian-updating"
    ],
    "priority": "core",
    "difficulty": "hard",
    "estimated_minutes": 15,
    "prerequisites": [
      "basic-algebra"
    ],
    "source_id": "mit-18-05-s2022",
    "locator": {
      "document": "Exam 2",
      "label": "Question II.2",
      "page": 7
    },
    "links": {
      "problem": "https://ocw.mit.edu/courses/18-05-introduction-to-probability-and-statistics-spring-2022/resources/mit18_05_s22_exam02_pdf/",
      "solution": "https://ocw.mit.edu/courses/18-05-introduction-to-probability-and-statistics-spring-2022/resources/mit18_05_s22_exam02_sol_pdf/"
    },
    "selection_note": "Tests likelihood construction, prior multiplication, and posterior normalization in a finite-outcome model.",
    "answer_status": "official-solution"
  }
}