Untitled

#No. 3
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

#No. 2
norm<-function(x,mu,sigma)(1/(sigma*sqrt(2*pi))*exp(-1/2*((x-mu)/sigma)^2))
norm(4,5,1)

## [1] 0.2419707

dnorm(4,mean=5,sd=1)

## [1] 0.2419707

#No. 1b
cdfexp<-function(x,lambda=0.05){
  pdf<-function(t){
    lambda*exp(-lambda*t)
  }
  hasil<-integrate(pdf,lower=0,upper=x)
  return(hasil$value)
}
cdfexp(4,0.05)

## [1] 0.1812692