Calculate conditional probability for coin flips
Last updated: November 23, 2025
Quick Overview
Given the following scenario about revenue per session, calculate the the p-value.
LinkedIn
Statistics & Math
Data Scientist
Data Scientist
Onsite
Statistics & Math
Medium
533
3
1,765 solved
Given the following scenario about revenue per session, calculate the the p-value.
LinkedIn values data-driven decision making. This Onsite question assesses whether you can design experiments, interpret results correctly, and avoid common statistical pitfalls like p-hacking or Simpson's paradox.
What the Interviewer Expects
- Set up the problem formally with proper notation
- Apply the correct statistical test with clear justification
- Interpret results with appropriate caveats and confidence levels
- Discuss practical significance vs statistical significance
- Identify potential confounders and how to address them
Key Topics to Cover
Regression analysis
Causal inference basics
Central Limit Theorem
Confidence intervals and significance levels
Conditional probability and Bayes theorem
Bayesian vs frequentist inference
How to Approach This
- Define your hypotheses (H0 and H1) clearly before performing any test.
- Calculate required sample size BEFORE running an experiment, using power analysis.
- Remember the Central Limit Theorem: sample means become approximately normal with large n.
- Watch for Simpson's paradox. Always segment data by key dimensions.
- Distinguish between statistical significance and practical significance.
Possible Follow-up Questions
- What alternative statistical method could you use here?
- How would you explain this result to a non-technical audience?
- What if the sample size is very small?
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Browse Statistics QuestionsSample Answer
Problem Formulation
To solve the problem, we need to set up a conditional probability framework based on the scenario of revenue per session from coin flips. Let's define the following variables:
- Let be the re...
Solution Approach
- Data Collection: Assume we have historical data on revenue per session for both Heads and Tails outcomes over a number of trials.
- Calculate Revenue Averages: Compute the average revenue ...
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