PRAK-KOMSTAT-4.R

#soal 1 probabilitas distribusi peluang kontinu
norm <- function(x, miu, sigma) (1/(sigma*sqrt(2*pi))*exp(-1/2*((x - miu)/sigma)^2))
norm(750, 800, 50)

## [1] 0.004839414

dnorm(750, mean = 800, sd = 50)

## [1] 0.004839414

#soal 2
#untuk P(X = 15)
eks <- function(x, lambda) {lambda*exp((-1)*lambda*x)}
eks(15, 0.05)

## [1] 0.02361833

#untuk P(X < 15)
cdfexp <- function(x, lambda = 0.05) {
  pdf <- function(t) {
    lambda*exp (-lambda*t)
  }
  hasil <- integrate(pdf, lower = 0, upper = x)
  return(hasil$value)
}
cdfexp(15, 0.05)

## [1] 0.5276334

#soal 3
uniform <- function(x, a = 0, b = 1) {1/(b - a)}
uniform(20, a = 10, b = 30)

## [1] 0.05

dunif(20, min = 10, max = 30)

## [1] 0.05