#Distribusi Eksponensial

#Untuk P(X=15)
eks<-function(x,lambda){lambda*exp((-1)*lambda*x)}
eks(4,0.167)
## [1] 0.08562641
#Untuk P(X<=15)
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=2,b=10){1/(b-a)}
uniform(6,a=2,b=10)
## [1] 0.125
dunif(6, min=2, max=10)
## [1] 0.125
#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