Capital One Data Scientist Statistics & Math Interview Questions
Practice 57 real Statistics & Math interview questions for Data Scientist roles at Capital One.
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"I've used LC, Glassdoor, and random Discords. Nothing comes close to the accuracy here. The questions are actually current — that's what got me. Felt like I had a cheat sheet during the interview."
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Evaluate ROI and payback for renewables
You’re advising NorthGrid Energy on a utility-scale renewables investment with the following Year-1 economics unless noted: upfront capex = $50,000,00...
Optimize profitability for coding contract decisions
A client offers two mutually exclusive fixed-price projects starting 2025-10-01 with a hard deadline of 2025-10-31. Your current team has 3 engineers....
Match Year-2 profit to Year-1
Target Profit Volume Across Two Years Context You sell only classic burgers. Year 1 has negligible fixed costs; Year 2 introduces new fixed costs. The...
Compare average profit across mix scenarios
Burger Profit Mix — Scenario A vs. Scenario B Context: You sell two burger types (Regular and Vegan). In Scenario A, you sell only Regular. In Scenari...
Estimate Default Rates Using Logistic Regression Model
Estimate Default Rates Using Logistic Regression Model On-site Statistical Role Play: Estimate Credit-Card Default Probability for a New Customer Segm...
Compute unit economics and insurance break-even
Subscription unit economics and insurance math. Assume no discounting and ignore taxes unless stated. Part A (15-month term): A subscription service c...
Determine Claim Rate for Breakeven in Insurance Portfolio
Weather-Insurance Portfolio Profitability You price a 12-month weather insurance policy. Customers pay premiums upfront for the year. Each policy can ...
Calculate Incremental Customers for Marketing Spend Justification
Incremental Customers Needed for Marketing Spend You previously computed the per-customer annual profit for a new cardholder, excluding partnership ma...
Quantify and Model Flight Delays Using Statistical Tests
Flight Delays: Quantification, Modeling, and Mitigation Testing You are a data scientist investigating flight delays using historical flight records a...
Compare solar vs biomass paybacks and recommend
Compare two investments. Assume all energy prices/costs are per MWh and the selling price is $40 per MWh. Project A (Solar): initial investment = $12....
Compute energy needed for 10% ROI
A proposed plant must deliver at least a 10% annual ROI on an initial investment of $400M. Annual economics (assume all numbers are annual unless note...
Determine intersection dimension of two 4D subspaces
Let Y and M be 4-dimensional subspaces of a 7-dimensional vector space X over R. Using dim(Y) + dim(M) = dim(Y + M) + dim(Y ∩ M), determine all possib...
Compute current annual profit
Loyalty Program Profitability Calculation A loyalty program has 2,000,000 customers. Revenue per customer (per year): - Annual membership fee: $50 - C...
Perform and justify t-tests
A/B Test: Compare Mean Watch Time Between Variants A and B Context: You ran an A/B test measuring per-user daily watch_time (in seconds). You obtained...
Match prior-year profit with new fixed costs
Target Profit Match with Product Mix and Added Fixed Costs m = million. You sold only Regular burgers in Year 1. In Year 2, you launch a Vegan burger ...
Compute monthly break-even subscribers
Break-even Analysis for a Subscription Streaming Service Context A streaming startup incurs monthly fixed costs and per-subscriber variable costs and ...
Differentiate fixed and variable costs with examples
Unit Economics: Fixed vs. Variable Costs in a Subscription Streaming Business Task - Define fixed cost vs. variable cost for a subscription streaming ...
Compute break-even and simulate diaper inventory
You operate a cloth-diaper service with these weekly parameters: 350 babies served; charge $20 per baby; deliver 80 clean diapers per baby; average us...
Compute probability second largest is below 2/3
Order Statistic Probability: P(U_(2) < 2/3) Context You draw three independent samples U1, U2, U3 from Uniform(0, 1). Let U_(1) ≤ U_(2) ≤ U_(3) denote...
Compute profit and break-even for memberships
Grocery Loyalty Program Economics — Year‑1 Incremental Profit and Premium Break‑Even Context: You are evaluating the Year‑1 unit economics of a grocer...