sample_proportions_is_not_a_binomial_distribution:output01
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| sample_proportions_is_not_a_binomial_distribution:output01 [2025/11/12 07:40] – removed - external edit (Unknown date) 127.0.0.1 | sample_proportions_is_not_a_binomial_distribution:output01 [2025/11/12 07:40] (current) – ↷ Links adapted because of a move operation hkimscil | ||
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| + | < | ||
| + | > 1 - pbinom(30, 100, 1/4) | ||
| + | [1] 0.1037872 | ||
| + | > pbinom(30, 100, 1/4, lower.tail = F) | ||
| + | [1] 0.1037872 | ||
| + | > | ||
| + | > # 위의 문제를 normal distriubtion으로 계산한다면 | ||
| + | > # exp(k) = np, var(k) = npq 이므로 | ||
| + | > n <- 100 | ||
| + | > p <- 1/4 | ||
| + | > q <- 1-p | ||
| + | > e.k <- n*p | ||
| + | > v.k <- n*p*q | ||
| + | > e.k | ||
| + | [1] 25 | ||
| + | > v.k | ||
| + | [1] 18.75 | ||
| + | > sd.k <- sqrt(v.k) | ||
| + | > | ||
| + | > x <- 0:50 | ||
| + | > plot(dbinom(x, | ||
| + | > # 위에서 P(x > 30) 을 묻는 문제 | ||
| + | > pnorm(30, e.k, sd.k, lower.tail = F) | ||
| + | [1] 0.1241065 | ||
| + | > # cc를 적용하면 | ||
| + | > pnorm(30.5, e.k, sd.k, lower.tail = F) | ||
| + | [1] 0.1020119 | ||
| + | > | ||
| + | > # P(x< | ||
| + | > pbinom(25, n, p) | ||
| + | [1] 0.5534708 | ||
| + | > pnorm(25, e.k, sd.k) | ||
| + | [1] 0.5 | ||
| + | > pnorm(25.5, e.k, sd.k) | ||
| + | [1] 0.5459637 | ||
| + | > | ||
| + | </ | ||
| + | {{sampling_proportion_is_not_binomial_distribution: | ||