PrakKomstat_Pert4

Distribusi Peluang Kontinu

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(750,800,50)

## [1] 0.004839414

dnorm(750,mean=800,sd=50)

## [1] 0.004839414

# Cumulative Distribution Function (P(X<=x))

Distribusi Eksponensial

# Probability Density Function (P(X=x))
# Untuk P(X=15)
eks<-function(x,lambda) {lambda*exp((-1)*lambda*x)}
eks(15,0.05)

## [1] 0.02361833

# Cumulative Distribution Function (P(X<=x))
# Untuk P(X<=15)
cdfexp<-function(x,lambda=0.05) {
  pdf<-function(t) {
    lambda*exp(-lambda*t)
  }
  hasil<-integrate(pdf,lower=0,upper=x)
  return(hasil$value)
}
cdfexp(15,0.05)

## [1] 0.5276334

Distribusi Uniform

# Probability Density Function (P(X=x))
uniform<-function(x,a=0,b=1) {1/(b-a)}
uniform(20,a=10,b=30)

## [1] 0.05

dunif(20,min=10,max=30)

## [1] 0.05

# Cumulative Distribution Function (P(X<=x))