PrakKomstat_Pert4

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

#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

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