Distribusi Eksponensial

# Probability Density Function (P(X=x))
# Untuk P(X=15)
eks<-function(x,lambda) {lambda*exp((-1)*lambda*x)}
eks(4,1/6)
## [1] 0.08556952
# Cumulative Distribution Function (P(X<=x))
# Untuk P(X<=15)
cdfexp<-function(x,lambda=1/6) {
  pdf<-function(t) {
    lambda*exp(-lambda*t)
  }
  hasil<-integrate(pdf,lower=0,upper=x)
  return(hasil$value)
}
cdfexp(4,1/6)
## [1] 0.4865829

Distribusi Uniform

# Probability Density Function (P(X=x))
uniform<-function(x,a=0,b=1) {1/(b-a)}
uniform(6,a=2,b=10)
## [1] 0.125

Distribusi Normal

# Probability Density Function (P(X=x))
norm<-function(x,miu,sigma) {1/(sigma*sqrt(2*pi))*exp(-1/2*((x-miu)/sigma)^2)}
norm(4,5,1)
## [1] 0.2419707