PrakKomstat_Pert4

#Cotoh soal 1 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) #untuk pdf

## [1] 0.2419707

#Contoh soal 2 distribusi eksponensial (cdf dan pdf)
#untuk P(X=15)

eks<-function(x,lambda){lambda*exp((-1)*lambda*x)}
eks(4,0.1667)

## [1] 0.08557522

#untuk P(X<=15)
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

#Contoh soal 3 distribusi uniform (pdf)
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