Agresti and Coull developed a method for generating confidence intervals for a parameter of this distribution as an alternative to the standard Wald intervals. The Polya and Pascal distributions are specific cases of the “negative” form of this distribution. The law of rare events states that a sequence of these distributions tends to a Poisson distribution as n tends to infinity. The hypergeometric distribution is a variant of this distribution performed (*) without replacement. A special case of the central limit theorem proved by de Moivre and Laplace permits the normal approximation of these distributions according to the rule of thumb that both n·p and n·q are at least five. This distribution models the number of successes from a sequence of independent Bernoulli trials. For 10 points, what probability distribution is named for coefficients of the form n choose k? ■END■
| 2025 PLAYTIME Online | 04/26/2025 | Y | 9 | 100% | 67% | 22% | 77.78 |
| 2024 PLAYTIME @ Harvard | 04/26/2025 | Y | 4 | 100% | 50% | 0% | 89.25 |
| 2024 PLAYTIME @ Virginia Tech | 07/11/2025 | Y | 3 | 100% | 33% | 33% | 101.33 |
| 2024 PLAYTIME @ UBC | 10/05/2024 | Y | 8 | 75% | 25% | 38% | 88.83 |
| 2024 PLAYTIME @ WashU | 10/12/2024 | Y | 6 | 83% | 83% | 17% | 48.20 |
| 2024 PLAYTIME @ JHU | 10/26/2024 | Y | 7 | 71% | 14% | 14% | 101.80 |
| 2025 PLAYTIME @ Sheffield | 12/10/2024 | Y | 1 | 100% | 0% | 100% | 93.00 |
| 2025 PLAYTIME @ Northwest | 12/10/2024 | Y | 4 | 100% | 0% | 25% | 113.00 |
| 2025 PLAYTIME @ Claremont | 12/10/2024 | Y | 5 | 100% | 80% | 20% | 53.00 |
| 2025 PLAYTIME @ Florida | 12/10/2024 | Y | 2 | 100% | 100% | 0% | 38.00 |
| 2025 PLAYTIME @ Florida | 12/10/2024 | Y | 1 | 100% | 100% | 0% | 57.00 |
| 2025 PLAYTIME @ CWRU | 12/10/2024 | Y | 5 | 100% | 80% | 0% | 55.20 |
| 2025 PLAYTIME @ Sheffield | 12/10/2024 | Y | 6 | 100% | 83% | 0% | 60.50 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Will McCurley | Auburn 2026 | Mike Dukakis Tank Battalion | 41 | 15 |
| Bhaskar Moorthy | Four Generalists in Search of a Power | we need new names | 50 | -5 |
| Daniel Sheinberg | Trip-Hop Quizzer Tricky | 2 Italians, 2 Poles, All Noles | 50 | 15 |
| Alex Li | Free Agents 1 | MSJ | 57 | 15 |
| Jacob Finley | Notre Dame + Epic Games | Gruh | 58 | 15 |
| Karthik Jayaram | Quatumvirate | Egypt Airlines Haters | 60 | 15 |
| Ryan Smith | mongeese | evil women enjoyers | 62 | 15 |
| Vikram Narasimhan | Illinois Orange | Monsieur Hulot's Academic Team | 63 | -5 |
| Chris Yoo | Mahjonng Masters | Goober Gang | 108 | 10 |
| Daniel Hothem | Monsieur Hulot's Academic Team | Illinois Orange | 125 | 10 |
| Sky Hong | we need new names | Four Generalists in Search of a Power | 139 | 10 |