POSTEST-KOMSTAT-1.R

#postest
#soal 1
#untuk P(X = 4)
eks <- function(x, lambda) {lambda*exp((-1)*lambda*x)}
eks(4, 0.1667)

## [1] 0.08557522

#untuk P(X <= 4)
cdfexp <- function(x, lambda = 0.1667) {
  pdf <- function(t) {
    lambda*exp (-lambda*t)
  }
  hasil <- integrate(pdf, lower = 0, upper = x)
  return(hasil$value)
}
cdfexp(4, 0.1667)

## [1] 0.4866513

#soal 2
uniform <- function(x, a = 0, b = 1){1/(b - a)}
uniform(6,a = 2, b = 10)

## [1] 0.125

dunif(6, min = 2, max = 10)

## [1] 0.125

#soal 3
norm <- function(x, miu, sigma) (1/(sigma*sqrt(2*pi))*exp(-1/2*((x - miu)/sigma)^2))
norm(4, 5, 1)

## [1] 0.2419707

dnorm(4, mean = 5, sd = 1)

## [1] 0.2419707