b:head_first_statistics:using_the_normal_distribution
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| b:head_first_statistics:using_the_normal_distribution [2022/10/27 23:05] – [Exercise] hkimscil | b:head_first_statistics:using_the_normal_distribution [2023/11/01 08:29] (current) – [When to approximate the binomial distribution with the normal] hkimscil | ||
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| ===== Exercise ===== | ===== Exercise ===== | ||
| Julie with 5" heels = 64 + 5 = 69 | Julie with 5" heels = 64 + 5 = 69 | ||
| + | Remember X ~ N(71, 20.25) | ||
| + | mean = 71 | ||
| + | variance = 20.25 | ||
| + | sd = 4.5 | ||
| + | z = (71-69)/4.5 | ||
| z score = -0.44 | z score = -0.44 | ||
| Line 881: | Line 886: | ||
| </ | </ | ||
| + | 위는 아래와 같음을 이해해야 한다 | ||
| + | < | ||
| + | > sum(dbinom(c(0: | ||
| + | [1] 0.387207 | ||
| + | > | ||
| + | </ | ||
| </ | </ | ||
| Line 919: | Line 930: | ||
| > pnorm(-0.29) | > pnorm(-0.29) | ||
| [1] 0.3859081 | [1] 0.3859081 | ||
| + | |||
| + | # the below is the same as the above | ||
| + | > n <- 12 | ||
| + | > p <- 1/2 | ||
| + | > q <- 1-p | ||
| + | > pnorm(5.5, n*p, sqrt(n*p*q)) | ||
| + | [1] 0.386415 | ||
| + | > | ||
| </ | </ | ||
b/head_first_statistics/using_the_normal_distribution.1666879544.txt.gz · Last modified: 2022/10/27 23:05 by hkimscil