p4 komstat

#1 Distribusi NORMAL (PDF)
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

#2 Distribusi EKSPONENSIAL (CDF)
#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

#3 Distribusi UNIFORM (PDF)
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