| 12345678910111213141516 |
- #!/usr/bin/env Rscript
- # binomial distribution
- binomial <- function(k, n, p) {
- return(factorial(n)/(factorial(k) * factorial(n - k)) * p**(k) * (1 - p)**(n - k))
- }
- sum(binomial(0:23, 30, 0.5))
- 1 - sum(binomial(24:30, 30, 0.5))
- # compute cumulative distribution function (CDF)
- # P(X <= 23)
- sum(dbinom(x = 0:23, size = 30, prob = 0.5))
- 1 - sum(dbinom(x = 24:30, size = 30, prob = 0.5))
- pbinom(23, size = 30, prob = 0.5)
|
