Untitled

#Untuk P (X=4)
eks<-function(x,lambda) {lambda*exp((-1)*lambda*x)}
eks(4,0.1667)

## [1] 0.08557522

#Untuk P(X<=4)
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

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

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