PostestKomstat_Zidan Surya Pradana

#Soal No 1
#Untuk P(X=4)
eks<-function(x,lambda){lambda*exp((-1)*lambda*x)}
eks(4,0.17)

## [1] 0.08612489

#Untuk P(X<=4)
cdfexp<-function(x, lambda = 0.17){
  pdf<-function(t){
    lambda * exp(-lambda * t)
  }
  hasil<-integrate(pdf, lower = 0,upper = x)
  return(hasil$value)
}
cdfexp(4,0.17)

## [1] 0.493383

#Soal No 2
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 No 3
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