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Quant researchersProbability · statistics · stochastic processes

Two Sigma · Quantitative Researcher

Classical probability and statistical inference with stochastic processes: distributions, Bayes, Markov chains, and estimator quality.

3 phases · 26 problems · 26 unique

Start timed mock5 problems · 4 min each

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Continue track · Expected Value

1Warm-up

0/8

Expected Value
pr-002Probability
Easy
Combinations (nCr)
pr-003Probability
Easy
Permutations (nPr)
pr-004Probability
Easy
Variance of Discrete RV
pr-005Probability
Medium
Geometric PMF
pr-012Probability
Easy
Mean
st-001Statistics
Easy
Variance
st-002Statistics
Easy
Z-Score
st-018Statistics
Easy

2Core

0/10

Standard Deviation of Discrete RV
pr-023Probability
Medium
Conditional Probability Table 2x2
pr-025Probability
Medium
Bayes Two Hypotheses
pr-026Probability
Medium
Birthday Problem Probability
pr-029Probability
Medium
Coupon Collector Expected Count
pr-030Probability
Medium
Markov Chain One-Step
pr-037Probability
Medium
Stationary Distribution Two-State
pr-038Probability
Medium
Covariance
st-003Statistics
Medium
Pearson Correlation
st-004Statistics
Medium
One-Sample t-Statistic
st-037Statistics
Medium

3Hard

0/8

Bayes Three Hypotheses
pr-042Probability
Hard
Markov Chain N-Step Distribution
pr-045Probability
Hard
Absorbing Probability Two-State
pr-046Probability
Hard
Random Walk Expected Hitting Time
pr-047Probability
Hard
Gambler's Ruin
pr-048Probability
Hard
Gambler's Ruin Expected Duration
pr-092Probability
Hard
Spearman Rank Correlation with Ties
st-042Statistics
Hard
Welch t-Statistic
st-044Statistics
Hard