PrakKomstat_Pert4

#Distribusi Normal
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

#Distribusi Eksponensial
#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

#Distribusi Uniform
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