binomial_distribution
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| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| binomial_distribution [2025/10/11 06:58] – [e.g.,] hkimscil | binomial_distribution [2025/10/11 08:26] (current) – [e.g.,] hkimscil | ||
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| Line 68: | Line 68: | ||
| </ | </ | ||
| - | ===== Expectation and Variance of ===== | + | ====== Expectation and Variance of ====== |
| Toss a fair coin once. What is the distribution of the number of heads? | Toss a fair coin once. What is the distribution of the number of heads? | ||
| * A single trial | * A single trial | ||
| Line 129: | Line 129: | ||
| \end{eqnarray*} | \end{eqnarray*} | ||
| + | ===== Proof of Binomial Expected Value and Variance ===== | ||
| + | [[:Mean and Variance of Binomial Distribution|이항분포에서의 기댓값과 분산에 대한 수학적 증명]], Mathematical proof of Binomial Distribution Expected value and Variance | ||
| - | ===== e.g., ===== | + | ====== e.g., ====== |
| <WRAP box> | <WRAP box> | ||
| In the latest round of Who Wants To Win A Swivel Chair, there are 5 questions. The probability of | In the latest round of Who Wants To Win A Swivel Chair, there are 5 questions. The probability of | ||
| Line 301: | Line 303: | ||
| n <- 6 | n <- 6 | ||
| pbinom(5, n, p) | pbinom(5, n, p) | ||
| - | |||
| 1 - dbinom(6, n, p) | 1 - dbinom(6, n, p) | ||
| + | sum(dbinom(0: | ||
| </ | </ | ||
| + | |||
| < | < | ||
| > p <- 1/4 | > p <- 1/4 | ||
| Line 396: | Line 399: | ||
| </ | </ | ||
| - | ===== Proof of Binomial Expected Value and Variance ===== | ||
| - | [[:Mean and Variance of Binomial Distribution|이항분포에서의 기댓값과 분산에 대한 수학적 증명]], Mathematical proof of Binomial Distribution Expected value and Variance | ||
binomial_distribution.1760133527.txt.gz · Last modified: by hkimscil