Simulate Radioactive Decay to Validate Analytical Solution
Company: Upstart
Role: Data Scientist
Category: Coding & Algorithms
Difficulty: Medium
Interview Round: Technical Screen
##### Scenario
Same radioactive-decay problem, but now validate the analytical answer via simulation during the interview.
##### Question
Share screen and write runnable code (any language) that Monte-Carlo simulates the decay of 100 particles, repeats many trials, and estimates the survival probability computed above.
##### Hints
Generate exponential or Bernoulli survival, loop many trials, collect frequencies, compare to theoretical value.
Quick Answer: This question evaluates a candidate's ability to implement Monte Carlo simulations and validate analytical probability results, testing skills in stochastic processes, numerical estimation, and programming within the Coding & Algorithms domain for data scientist roles.