Post Test Prak Komstat

#Peluang 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

#Ditribusi Eksponensial
#Untuk P(X=4)
eks<-function(x,lambda)(lambda*exp((-1)*lambda*x))
eks(4,0.167)

## [1] 0.08562641

#Untuk P(X>=4)
cdfexp<-function(x,lambda=0.167){
  pdf<-function(t){
    lambda*exp(-lambda*t)
  }
  hasil<-integrate(pdf,lower=0,upper=x)
  return(hasil$value)
}
cdfexp(4,0.167)

## [1] 0.487267

#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