Postes 1 Komstat

#soal 1 distribusi eksponensial

#untuk P(X = 4)
eks<-function(x,lambda){lambda*exp((-1)*lambda*x)}
eks(4,1/6)

## [1] 0.08556952

#unutk P(X <= 4)
cdfexp <- function(x,lambda=1/6) {
  pdf<-function(t) {
    lambda*exp(-lambda*t)
  }
  hasil<-integrate(pdf,lower=0,upper=x)
  return(hasil$value)
}
cdfexp(4,1/6)

## [1] 0.4865829

#soal 2 distribusi uniform

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 #distribusi normal

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