Statistics & Math Interview Questions

Showing 241–270 of 439 results

• MetaHard·Data Scientist
  Estimate variance for ratio metrics

  This question evaluates statistical inference and experimental-analysis skills for data scientists, including variance estimation for ratio metrics via the delta method, covariance estimation from sample moments, model-based comparisons (ANCOVA/log models with offsets), bootstrap and t-test inference considerations, and robustness techniques for heavy-tailed revenue such as winsorization and robust M-estimators. It is commonly asked to assess both theoretical derivation and practical estimation trade-offs in A/B or experimental settings; the category is Statistics & Math and the level of abstraction spans conceptual understanding and practical application.

  Statistics & MathOnsite
• MetaMedium·Data Scientist
  Evaluate Marketing Campaign's Click-Through Rate Effectiveness

  This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Evaluate Marketing Campaign's Click-Through Rate Effectiveness states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

  Statistics & MathOnsite
• MetaMedium·Data Scientist
  Evaluate Probability of Positive User Comments and Model Performance

  Evaluate Probability of Positive User Comments and Model Performance evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

  Statistics & MathOnsite
• MetaEasy·Data Scientist
  Explain Central Limit Theorem's Importance in A/B Testing

  Evaluates understanding of the Central Limit Theorem and confidence intervals in A/B testing. Strong answers explain sampling distributions, standard error, normal approximations for experiment metrics, caveats for dependence and heavy tails, and compute the 95% confidence interval as [2.902, 3.098].

  Statistics & MathOnsite
• MetaMedium·Data Scientist
  Fake Accounts [AE]

  This question tests your ability to apply Bayes' Theorem in a low-prevalence classification scenario and your ability to engineer robust signals for detecting anomalous user behavior.

  Statistics & MathOnsiteBayes TheoremClassificationPrecision-Recall
• MetaMedium·Data Scientist
  Identify Metrics to Detect Fake-Account Activity on Facebook

  This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Identify Metrics to Detect Fake-Account Activity on Facebook states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

  Statistics & MathOnsite
• MetaMedium·Software Engineer
  Measure Forty-Five Minutes with Two Unevenly Burning Ropes

  Measure exactly 45 minutes using two ropes that each burn for 60 minutes but at unpredictable rates. The reasoning must rely only on lighting rope ends and observing completion events, never on assuming that half a rope represents half the time.

  Statistics & MathTechnical Screen
• MetaMedium·Data Scientist
  Model Unique Recipients with Poisson Distribution and Test Fit

  Evaluates statistical modeling of unique recipient counts per caller using count distributions. Strong answers compare Poisson, binomial, negative binomial, zero-inflated, and segmented models, then test fit with dispersion checks, likelihood metrics, chi-square tests, and simulation-based diagnostics.

  Statistics & MathTechnical Screen
• MetaMedium·Data Scientist
  Model session times and comments with exponential/Poisson

  This question evaluates understanding of memoryless processes and count-data modeling, covering exponential (constant-hazard) distributions for session durations and Poisson approximations for comment counts within survival analysis and count-data modeling in Statistics & Math for a Data Scientist role.

  Statistics & MathOnsite
• MetaMedium·Data Scientist
  Test two models' proportions for significance

  This question evaluates proficiency in statistical inference for proportions, covering hypothesis testing, confidence intervals, power and sample-size calculations, multiple-testing correction, and comparison of frequentist versus Bayesian approaches within the Statistics & Math domain for data scientist roles.

  Statistics & MathOnsite
• MicrosoftMedium·Data Scientist
  Choose Classification Metrics Under Asymmetric Costs

  This question evaluates understanding of binary classification evaluation metrics and model-operating decisions, covering confusion-matrix-derived measures (precision, recall/sensitivity, specificity, false positive/negative rates), summary metrics (ROC-AUC, PR-AUC), Type I/II errors, threshold selection, prevalence drift, probability calibration, and cost-sensitive trade-offs. It is commonly asked to assess a data scientist's ability to reason about model performance under class imbalance and asymmetric business costs, and it belongs to the Statistics & Math / Machine Learning model-evaluation domain requiring both conceptual understanding and practical application.

  Statistics & MathTechnical Screen
• MicrosoftEasy·Data Scientist
  Compute P(Bag B | red) via Bayes

  This question evaluates understanding of Bayes' rule and conditional probability by requiring computation of the posterior probability that a particular bag was chosen given a red draw.

  Statistics & MathTechnical Screen
• MicrosoftMedium·Data Scientist
  Test classifier difference with McNemar's test

  This question tests a data scientist's ability to apply McNemar's test for comparing paired classifiers, a core competency in statistical hypothesis testing and model evaluation. It assesses practical knowledge of contingency table analysis, exact vs. asymptotic tests, confidence interval construction, and multiple testing correction in machine learning contexts.

  Statistics & MathOnsite
• MicrosoftEasy·Data Scientist
  Use confusion matrix to choose model metric

  This question tests the ability to select appropriate classification metrics based on specific business objectives, asymmetric error costs, and dataset characteristics like class imbalance.

  Statistics & MathTechnical ScreenClassificationImbalanced DataEvaluation Metrics
• Mistral AIMedium·Software Engineer
  Solve Probability and Logic Puzzles Under Interview Pressure

  Analyze the expected yield, speedup condition, and conditional probabilities of a speculative decoding stopping process under time pressure.

  Statistics & MathOnsiteprobabilityexpected-valueinference
• Morgan StanleyMedium·Data Scientist
  Solve Market-Risk and Probability Questions

  Morgan Stanley data-scientist HR-screen quant set covering four sub-questions: design a WTI/Brent crude stress-testing framework using heavy-tailed marginals and a t-copula for joint tail dependence; the variance of a sum of correlated normal variables and when the sum is normal; the Monty Hall switching probability; and the eight-balls one-heavier puzzle in two weighings. It probes both conceptual understanding and practical application of dependence modeling, scenario generation, and probabilistic reasoning.

  Statistics & MathHR Screen
• MMorningstarEasy·Data Scientist
  Explain a stochastic process simply

  This question assesses the candidate's ability to intuitively define a stochastic process, differentiate it from static probability models, and articulate fundamental properties like stationarity and the Markov property.

  Statistics & MathTechnical ScreenStatisticsStochastic ProcessesTime Series
• NVIDIAMedium·Software Engineer
  Explain linear algebra for graphics transforms

  This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Explain linear algebra for graphics transforms states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

  Statistics & MathOnline Assessment
• NetflixMedium·Data Scientist
  Answer core probability and statistics questions

  This question evaluates core probability and statistical inference competencies—covering Bayesian reasoning, regression controls and confounding, the Central Limit Theorem, distribution moments, t-statistics, and effect size/MDE—relevant to quantitative data analysis and hypothesis testing for a Data Scientist role in the Statistics & Math domain.

  Statistics & MathOnsite
• NetflixHard·Data Scientist
  Evaluate Propensity Score Matching Alternatives and Diagnostics

  This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Evaluate Propensity Score Matching Alternatives and Diagnostics states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

  Statistics & MathOther
• NetflixEasy·Data Scientist
  Solve core probability and statistics questions

  This problem tests your understanding of the Central Limit Theorem and its application in power analysis for A/B testing and confidence interval estimation.

  Statistics & MathOnsiteProbabilityA/B TestingCentral Limit Theorem
• OneMain FinancialMedium·Data Scientist
  Differentiate and control Type I/II errors

  This question evaluates understanding of hypothesis testing fundamentals such as Type I/Type II errors, statistical power and sample size calculation for two-proportion tests, family-wise error rate control (e.g., Bonferroni), and sequential analysis/alpha-spending schemes.

  Statistics & MathTechnical Screen
• OneMain FinancialMedium·Data Scientist
  Maximize Probability of Drawing Two Red Balls

  This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Maximize Probability of Drawing Two Red Balls states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

  Statistics & MathTechnical Screen
• OpenAIMedium·Machine Learning Engineer
  Derive MLE and Bayesian posterior for Bernoulli

  This question evaluates parameter estimation and inferential reasoning for Bernoulli/binomial data, including maximum likelihood estimation and its asymptotic variance, Bayesian updating with a Beta prior and the resulting posterior and posterior predictive probability, as well as interval estimation; it is classified in the Statistics & Math domain. It is commonly asked to assess understanding of frequentist versus Bayesian inference, the behavior and reliability of asymptotic approximations and credible intervals, and the practical implications for predictive probability and uncertainty quantification, testing both conceptual understanding and practical application.

  Statistics & MathOnsite
• OpenAIMedium·Machine Learning Engineer
  Maintain Entropy for a Streaming Distribution

  Maintain empirical Shannon entropy after every categorical observation without rescanning all categories. The discussion should cover arbitrary identifiers, first-item behavior, exact counts, floating-point drift, concurrency, deletions, sliding windows, and merging summaries from separate stream partitions.

  Statistics & MathOnsite
• OptiverHard·Data Scientist
  Analyze EV, arbitrage, and bet sizing across games

  This question evaluates proficiency in probability and statistics—particularly expected value and variance computation, arbitrage detection across payoff tables, quantitative bet-sizing strategies (e.g., Kelly and fractional sizing), and numerical approximation skills for independent discrete outcomes.

  Statistics & MathTechnical Screen
• OptiverHard·Software Engineer
  Analyze an Unfair-Coin Bankroll Game

  This problem tests probability theory and expected value calculations in the context of a game with an unfair coin and a bankroll constraint.

  Statistics & MathTechnical ScreenProbabilityExpected ValueRecurrence Relations
• OptiverHard·Software Engineer
  Calculate the Probability That Two Dice Sum to Seven

  This question tests fundamental understanding of discrete probability, combinatorics, and the impact of conditional dependencies on outcomes.

  Statistics & MathTechnical ScreenProbabilityCombinatoricsStatistics
• OptiverMedium·Software Engineer
  Compute expectations, conditionals, odds, and distributions

  This question evaluates proficiency in fundamental probability and statistics concepts — including expected value and variance, conditional probability, discrete arrival modeling, betting odds and the Kelly criterion, and combinatorics for draws without replacement — and is categorized under Statistics & Math.

  Statistics & MathTechnical Screen
• OptiverMedium·Data Scientist
  Compute expected coin flips to meet on octagon

  Compute expected coin flips to meet on octagon evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

  Statistics & MathTechnical Screen