# Diagnostic testing with base rates

> ML preparation item.

- Stable ID: `mit-18-05-s2022-exam1-q4`
- Area: Mathematics
- Topic: Probability
- Origin: external
- Expected time: 8 minutes
- Skills: bayes-rule, base-rate, conditional-probability
- Item JSON: https://mlprep.iwase.dev/data/items/mit-18-05-s2022-exam1-q4.json

This site does not reproduce the third-party problem.

- Source: MIT 18.05 Introduction to Probability and Statistics
- Document: Exam 1
- Locator: Question 4, page 5
- Original problem: https://ocw.mit.edu/courses/18-05-introduction-to-probability-and-statistics-spring-2022/resources/mit18_05_s22_exam01_pdf/
- Official answer: https://ocw.mit.edu/courses/18-05-introduction-to-probability-and-statistics-spring-2022/resources/mit18_05_s22_exam01_sol_pdf/
- Answer status: official-solution


## Tutoring contract

Ask for the learner's attempt, begin with the smallest useful hint, preserve item ID `mit-18-05-s2022-exam1-q4`, and record a real attempt with `recorded_by: "agent"` and `agent_session_id` when available using https://mlprep.iwase.dev/schema/attempt-record.json.