Question

In functional analysis, this noun denotes linear functionals that act on compactly-supported test functions, which define a namesake generalized derivative. Methods that are “[this noun]-free” are also called “nonparametric” and include the Kolmogorov–Smirnov test. A letter that stands for this noun appears above the arrow in the central limit theorem, which concerns “convergence in [this word].” This noun appears in the name of a class of increasing, right-continuous functions that converge to zero and one at minus and plus infinity. Those functions, which are found by integrating (-5[1])probability density functions, are written capital (-5[1])F and preface this noun with “cumulative.” (10[2])For 10 points, give this word for the spread of probabilities taken by a random (-5[2])variable, such as the Poisson or binomial. ■END■ (10[4])

ANSWER: distribution [or word forms like distributional or distributed; accept distributional derivative; accept distribution-free; accept convergence in distribution; accept cumulative distribution function]
<TM, Other Science>
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Buzzes

PlayerTeamOpponentBuzz PositionValue
Roxanne TangOhio State AMichigan A86-5
Aditya PatnaikOhio State BMichigan C92-5
David NiemanCarnegie Mellon AMichigan B9910
Jack LengaCarnegie Mellon BMichigan State9910
Daniel HuangMichigan DCase Western B114-5
Alan LeeCase Western AKenyon114-5
Carter PisockyMichigan COhio State B12210
Yashwanth BajjiMichigan AOhio State A12210
Noah DeanKenyonCase Western A12210
Anthony YinCase Western BMichigan D12210

Summary

California2025-02-01Y367%0%100%116.50
Great Lakes2025-02-01Y6100%0%67%114.33
Lower Mid-Atlantic2025-02-01Y6100%0%17%98.83
Midwest2025-02-01Y5100%0%40%111.60
Overflow2025-02-01Y580%0%60%108.50
Pacific Northwest2025-02-01Y2100%0%0%92.50
Southeast2025-02-01Y3100%0%0%108.67
UK2025-02-01Y1080%0%60%99.88