Calculate probability for coin flips

Last updated: September 15, 2025

Quick Overview

Given the following scenario about revenue per session, calculate the the sample size needed.

Anduril
Statistics & Math
Data Scientist
Anduril
September 15, 2025
Data Scientist
Take-home Project
Statistics & Math
Easy

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3,631 solved


Given the following scenario about revenue per session, calculate the the sample size needed.

This statistics question from Anduril's Take-home Project tests your ability to apply mathematical reasoning to practical problems. The interviewer expects precise definitions, correct methodology, and awareness of assumptions and limitations.

What the Interviewer Expects
  • State the correct formula or theorem with clear definitions
  • Apply the concept to the given scenario step by step
  • Interpret the result in plain language
  • Identify assumptions and when they might be violated
Key Topics to Cover
Probability distributions
Causal inference basics
Hypothesis testing (H0, H1, p-values)
Central Limit Theorem
Confidence intervals and significance levels
Bayesian vs frequentist inference
How to Approach This
  1. Define your hypotheses (H0 and H1) clearly before performing any test.
  2. Calculate required sample size BEFORE running an experiment, using power analysis.
  3. Remember the Central Limit Theorem: sample means become approximately normal with large n.
  4. Watch for Simpson's paradox. Always segment data by key dimensions.
  5. Distinguish between statistical significance and practical significance.
Possible Follow-up Questions
  • How would you explain this result to a non-technical audience?
  • What if the sample size is very small?
  • What alternative statistical method could you use here?
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Sample Answer
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Solution Approach

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