Meta Data Scientist Statistics & Math Interview Questions
Practice the exact questions companies are asking right now.
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Compute probability an account is fake
A platform uses an automated classifier to flag potentially fake accounts. Assume: - Base rate: 2% of accounts are fake. - The classifier flags a fake...
Compute posterior fake probability using Bayes' rule
A platform runs an automated detector to flag fake accounts. - Prior probability an account is fake: \(P(F)=0.02\). - True positive rate (sensitivity)...
Compute fraud probabilities with Bayes and Binomial
Fake-Account Detection with Binomial Sessions and Bayes Updating You are evaluating a rules-based detector for fake accounts on an online platform. Ea...
Determine Probability of Friend Request Being Fake
Scenario You operate a platform where 95% of accounts are real and 5% are fake. Fake accounts send 10 times as many friend requests per account as rea...
Fake Accounts [AE]
Detecting and Managing Bad Accounts on a Social Platform 1) Probability of a Bad Account Sending Friend Requests Context: 1% of accounts are bad. Bad ...
Compute Bayes probability for fake accounts
A platform is trying to detect fake accounts. Assume: - Base rate of fake accounts is \(P(F)=p\). - A detection system flags an account as suspicious ...
Compare Bayesian and frequentist decisions
A/B Test With Beta–Binomial Posteriors and Decision-Making Under Asymmetric Costs You ran a two-arm A/B test on a binary KPI with independent Beta(1, ...
Compute probabilities for chatbot response quality
Context A chatbot response is considered good if it is both: - Helpful, and - Honest. You are told: - \(P(\text{Helpful}) = 0.8\) - \(P(\text{Honest})...
Estimate bots and CI from DAU spike
Mixture Spike and Mean-Difference Inference for Daily Comments Context A product has DAU (daily active users) = 2,000,000. On day T, total comments in...
Choose robust metrics for skewed comments
Robust central tendency and inference for zero‑inflated, heavy‑tailed counts You are evaluating an A/B test on per‑user daily comment counts. The outc...
Analyze ad targeting expectations and distributions
Ads Profit, Variance Decomposition, and Exponential Timing Context: You run an ad slot with two user segments. On each eligible page view (impression ...
Calculate Posterior Fraud Probability Using Bayes' Theorem
Posterior Fraud Probability After a Flag Context You operate a fraud detection system that flags accounts as suspicious. Define: - F: account is fraud...
Estimate CTR lift with binomial tests and errors
A/B Test Inference, Peeking, and Multiple Comparisons You run a two-arm A/B test of click-through rate (CTR). - Control: n_c = 10,000,000 impressions,...
Compute posterior and event counts in fraud screen
Fake-Account Screening with Threshold on 5 Signals You are designing a rule-based screener that flags an account if at least k of 5 binary signals fir...
Model comment count distribution and validate assumptions
You observe daily comment counts per post on a large social app are highly skewed with many zeros. a) Choose an appropriate discrete model among Poiss...
Apply sequential testing without p-hacking
Sequential Monitoring With Early Stopping Context: You are planning a two‑sided hypothesis test with continuous monitoring and early stopping for effi...
Analyze DAU comments distribution and resampling
Consider the metric comments_per_DAU (number of comments a daily active user makes in a day). a) Shape: Describe and justify the expected distribution...
Analyze skewed comments and sampling effects
Right‑Skewed Daily Comments: Location Stats and Sampling Distributions You’re analyzing daily user comments per user, which are right‑skewed count dat...
Compute conditional occupancy across two rooms
Probability and Bayes Update: Two Rooms Setup There are two rooms. Prior over occupancy states: - With probability 1/3: both rooms are occupied. - Wit...
Analyze Distribution of Daily Page Shares Per User
Engagement Distributions and Cohort Dynamics You are analyzing per-user, per-day engagement. Assume a day-level panel with all users included (inactiv...