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 (-5[1])and one at minus and plus infinity. Those functions, which are found by integrating probability density functions, are written capital F and preface this noun (-5[1])with “cumulative.” (10[1])For 10 points, give this word (10[1])for the spread of probabilities (10[1])taken by a random variable, such as the Poisson or binomial. ■END■ (10[2])

ANSWER: distribution [or word forms like distributional or distributed; accept distributional derivative; accept distribution-free; accept convergence in distribution; accept cumulative distribution function]
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Buzzes

PlayerTeamOpponentBuzz PositionValue
Michael HundingIllinois AIndiana B72-5
Charles HangWashU AIllinois B97-5
June YinWashU BIllinois C9910
Sam KonkelChicago CMissoui S&T10510
Jakob MyersIndiana AChicago D11010
Yash MandaviaIllinois BWashU A12210
Nermeen RahmanIndiana BIllinois A12210

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