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Statistics & Math Interview Questions
Practice 9403 coding, system design and machine learning questions from 546 companies, sorted by role, topic and interview round. Every question has step-by-step hints, a code runner that supports 8 languages and an AI mentor; members also get the full solution walkthrough.
- 9403
- Questions
- 546
- Companies
- 11
- Topics
- 8
- Languages
Showing 31–60 of 78 results
- OptiverHardData ScientistFind next terms in sequences
This question evaluates pattern recognition, numerical reasoning, and sequence-inference competency across arithmetic, fractional, and recurrence-style relationships, and falls under the Statistics & Math domain relevant for data scientist roles.
Statistics & MathOnline Assessment - OptiverMediumSoftware EngineerPlan for timed probability assessment
This question evaluates rapid probabilistic and statistical reasoning, time management and problem prioritization under strict timing, along with the ability to adapt approaches based on scoring rules and calculator restrictions, and it is classified in the Statistics & Math domain.
Statistics & MathOnline Assessment - OptiverMediumSoftware EngineerSolve numeric sequence pattern puzzles
This question evaluates pattern recognition and quantitative reasoning skills, requiring identification of numeric relationships, series properties, and simple number-theoretic or arithmetic transformations.
Statistics & MathOnline Assessment - OptiverHardData ScientistSolve probability and expectation problems
This problem tests your ability to calculate expected stopping times in a discrete random walk and your understanding of conditional expectation and symmetry in probability.
Statistics & MathOnline AssessmentProbabilityExpectationStochastic Processes - OptiverMediumSoftware EngineerSolve quick probability questions
This set evaluates core probability and combinatorics skills including discrete distributions, conditional probability, independence, expectation and variance, and basic stochastic processes such as gambler's ruin, situated in the Statistics & Math domain.
Statistics & MathOnline Assessment - OtherMediumSoftware EngineerSolve a Set of Probability and Quantitative Reasoning Problems
Work through fourteen quantitative interview problems covering probability, counting, expectation, algebra, logical constraints, and rate reasoning. Each result should be auditable, use the correct sample space, and state any interpretation that affects the calculation.
Statistics & MathOnline Assessment - Point72MediumQuantitative ResearcherCalibrate the Risk-Aversion Parameter
Calibrate mean-variance risk aversion to target risk and out-of-sample utility while accounting for units, scaling, constraints, and regimes.
Statistics & MathOnline Assessment - Point72MediumQuantitative ResearcherChoose Practical Portfolio Constraints
Specify practical stat-arb constraints for neutrality, exposure, concentration, turnover, liquidity, and borrow, including feasibility checks.
Statistics & MathOnline Assessment - Point72MediumQuantitative ResearcherDerive Annualized Portfolio Volatility
Derive portfolio volatility from factor covariance and stock-specific variance, then annualize it with consistent horizons and units.
Statistics & MathOnline Assessment - Point72MediumQuantitative ResearcherEstimate Factor Returns and Residual Returns
Derive weighted factor-return estimates from a sample, then compute residual returns across a larger trading universe with stable linear algebra.
Statistics & MathOnline Assessment - Point72MediumQuantitative ResearcherFormulate a Single-Period Stat-Arb Objective
Formulate a convex single-period statistical-arbitrage objective balancing expected return against covariance risk, with consistent units.
Statistics & MathOnline Assessment - Point72MediumQuantitative ResearcherLinearize an L1 Trading Penalty
Linearize weighted absolute trading costs with auxiliary variables, complete LP constraints, the correct objective sign, and an equivalence proof.
Statistics & MathOnline Assessment - Point72MediumQuantitative ResearcherModel Trading Frictions in Portfolio Optimization
Extend a stat-arb objective with unit-consistent commissions, spread, slippage, market impact, turnover, borrow, and concentration costs.
Statistics & MathOnline Assessment - Point72HardData ScientistPrice a coin-doubling game rationally
This question evaluates understanding of probability distributions, divergent expected values, utility theory, and optimal betting strategies (Kelly staking) within the Statistics & Math domain for a Data Scientist role.
Statistics & MathOnline Assessment - RobloxHardData ScientistApply Bayes' rule to compute posterior
Evaluates understanding of Bayes’ rule and basic probability concepts—specifically computing a posterior probability P(A|B) and the marginal likelihood P(B) from a prior and likelihoods—in the Statistics & Math domain at a foundational-to-intermediate abstraction level.
Statistics & MathOnline Assessment - RobloxEasyData ScientistCompute A/B test sample size and Bayes posterior
This question tests the ability to calculate required sample size for a frequentist A/B test using power analysis and to perform a Bayesian update for a Bernoulli process.
Statistics & MathOnline AssessmentStatisticsA/B TestingBayesian Inference - RobloxHardData ScientistCompute sample size and Bayes posterior
This question evaluates understanding of statistical inference and probabilistic reasoning by combining a frequentist power/sample-size computation for a two-sided two-sample z-test with a basic Bayesian conditional probability calculation.
Statistics & MathOnline Assessment - SIG (Susquehanna)MediumQuantitative TraderBayesian Posterior That k Red Parts Came From Factory A
A probability question on Bayesian updating: one of two factories with different red-part rates is chosen at random, and k parts drawn from it are all red. It asks for the conditional probability that the parts came from the first factory, testing likelihoods, priors and careful evaluation of powers.
Statistics & MathOnline Assessment - SIG (Susquehanna)EasyData ScientistCalculate Expected Payoff from Two Dice
This problem tests fundamental knowledge of probability, expected value, and partitioning sample spaces to calculate the average outcome of a stochastic process.
Statistics & MathOnline AssessmentProbabilityExpected ValueStatistics - SIG (Susquehanna)EasyData ScientistCompute Conditional Age Probability Among Cyclists
This question tests the ability to interpret a contingency table and calculate conditional probabilities by narrowing the sample space to a specific sub-group.
Statistics & MathOnline AssessmentProbabilityStatisticsContingency Tables - SIG (Susquehanna)MediumData ScientistCompute ruin probability with bold betting
This question evaluates understanding of probability theory and stochastic processes, focusing on ruin probabilities under a bold betting strategy with state-dependent wagers.
Statistics & MathOnline Assessment - SIG (Susquehanna)EasyData ScientistCompute stockout sufficiency probability
This question evaluates understanding of discrete probability and binomial models for independent Bernoulli trials, testing the ability to compute the probability that a limited resource meets random demand.
Statistics & MathOnline Assessment - SIG (Susquehanna)EasyData ScientistCompute the Probability Two Bloom Intervals Overlap
Calculate the probability that two independent events with different known durations overlap within a fixed time window using geometric probability.
Statistics & MathOnline AssessmentProbabilityContinuous DistributionsGeometric Probability - SIG (Susquehanna)EasyData ScientistCondition on a Chosen Rabbit Losing
Calculate the conditional probability that a randomly selected rabbit is the least athletic of three rabbits given that it lost its benchmark race, using Bayes' theorem.
Statistics & MathOnline AssessmentProbabilityBayes' TheoremConditional Probability - SIG (Susquehanna)EasyData ScientistCount Cookie Flavor Combinations
Calculate the number of distinct unordered combinations when selecting 5 cookies from 4 available flavors with replacement, and contrast this with the ordered outcome space.
Statistics & MathOnline Assessmentcombinatoricsstars-and-barsprobability - SIG (Susquehanna)EasyData ScientistCount Grid Paths with No Three Equal Moves
Count lattice paths from `(0, 0)` to `(5, 5)` that never use three identical directions consecutively. The solution converts paths into alternating runs of length one or two, counts bounded compositions for equal and unequal run totals, and derives 84 valid paths.
Statistics & MathOnline Assessment - SIG (Susquehanna)EasyData ScientistDeduce Cat Counts from Conditional Truth Rules
Deduce the exact number of cats owned by three individuals based on conditional truth-telling rules, percentage relations, and average constraints.
Statistics & MathOnline AssessmentLogic PuzzleNumber TheoryIntegrality - SIG (Susquehanna)EasyData ScientistDetermine a Canoe Departure Time
This problem tests algebraic modeling and systems of linear equations by requiring the candidate to derive the counts of different entities based on a total sum constraint.
Statistics & MathOnline AssessmentAlgebraLinear EquationsLogic - SIG (Susquehanna)MediumData ScientistDetermine departure time from travel times
This question evaluates a candidate's understanding of relative motion, time-distance-rate relationships, algebraic modeling, and quantitative reasoning. Commonly asked in technical interviews for Statistics & Math and Data Scientist roles, it assesses the practical application of setting up and manipulating equations from multi-step word problems rather than purely conceptual theory.
Statistics & MathOnline Assessment - SIG (Susquehanna)MediumQuantitative TraderExpected Number of Same-Rank Pairs in a Hand Dealt Without Replacement
An expectation question about dealing K cards without replacement from a deck of M ranks with N cards each, then counting the same-rank pairs in the hand. It tests linearity of expectation, probabilities when drawing without replacement, and how the definition of a pair changes the answer.
Statistics & MathOnline Assessment