Expected meetings in Room 1 after random assignment
Company: Meta
Role: Data Scientist
Category: Analytics & Experimentation
Difficulty: medium
Interview Round: Onsite
Scenario: Meeting rooms are randomly assigned. Given Room 1 already has at least one meeting, calculate its expected total when k meetings are spread across N rooms.
Question 1: Given Room 1 is non‑empty and k meetings are randomly assigned across N rooms, find expected meetings in Room 1. (Hint: conditional probability, linearity of expectation)
Quick Answer: This question evaluates probability and statistical reasoning skills, focusing on conditional expectation and discrete probabilistic modeling in a balls‑in‑bins context and falls under the Analytics & Experimentation domain for Data Scientist roles.