Capital One Data Scientist Statistics & Math Interview Questions
Master your tech interview with our curated database of real questions from top companies.
Determine Claim Rate for Breakeven in Insurance Portfolio
Weather-Insurance Portfolio Profitability Setup You price a 12-month weather insurance policy. Customers pay premiums upfront for the year. Each polic...
Calculate Incremental Customers for Marketing Spend Justification
Scenario You previously computed the per-customer annual profit for a new cardholder (excluding partnership marketing costs) in Question 2. Let: - p =...
Estimate Default Rates Using Logistic Regression Model
On-site Statistical Role Play: Estimate Credit-Card Default Probability for a New Customer Segment Context You have historical account-level data with...
How to Analyze and Reduce Airline Flight Delays
Scenario Statistics role-play: investigating airline flight delays Task Design and execute a statistical analysis to understand and reduce airline fli...
Calculate Annual Profit of Credit Card Portfolio
Portfolio Annual Profit Calculation Context You manage a portfolio of 500,000 active credit-card accounts. Each active card generates multiple revenue...
Quantify and Model Flight Delays Using Statistical Tests
Flight Delays: Quantification, Modeling, and Testing a Mitigation Strategy Scenario You are a data scientist investigating flight delays using histori...
Compute gala vs online break-even donors
A nonprofit must choose one of two fundraising options. Option A (Gala): capacity 100 attendees; fixed cost $20,000; variable cost $100 per attendee. ...
Model network-service unit economics and breakeven
A network service charges $40/month with the first 3 months free. Costs: variable service cost $25 per active month; one-time install cost $35 at acti...
Compute credit-card portfolio profit and breakeven
A bank is evaluating a new credit card. Segments: A: 30,000 customers, capture rate 20%, avg annual spend per captured customer = $100,000. B: any pop...
Compute and interpret 95% confidence intervals
Answer all parts. Show formulas and intermediate values. A) An A/B test measures conversion: Variant A has 410 conversions out of 5000 visitors; Varia...
Match Netflix profit; derive required subscribers
Subscription Profit and Break-even (All Monthly) Assume all figures are monthly and "M" denotes millions. We model subscription profit as: - Profit = ...
Set membership fee under investment constraints
Streaming membership pricing vs. content investment Context You are designing a monthly membership for a streaming service. Producing original shows i...
Graph WTP vs content and explain cap
Willingness-to-Pay (WTP) vs. Content Quantity Context Assume the number of available shows is a nonnegative quantity S (S ≥ 0). A customer's maximum w...
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 expansion profits and expected value
Theme Park Expansion Profit Analysis Context You are evaluating the financial impact of capacity expansion for a theme park. Current operations and pr...
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...
Calculate profit and break-even across pricing models
Unit Economics and Break-even Analysis for a Cloud-Storage Startup You are analyzing a cloud-storage startup that currently charges unit-based pricing...
Compute Groupon unit economics and break-even
Restaurant Coupons and Unit Economics Context: A restaurant's variable cost (VC) is 40% of pre-discount spend and fixed cost (FC) is $100/day. Assume ...
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...