1 Pertemuan #3 Probability Distribution Matakuliah: H0332/Simulasi dan Permodelan Tahun: 2005 Versi: 1/1
2 Learning Outcomes Pada akhir pertemuan ini, diharapkan mahasiswa akan mampu : Mahasiswa dapat menghubungkan probability distribution dengan fenomena yang sesuai (C4)
3 Outline Materi Uniform, U(a,b) Exponential, expo( ) Normal, N( , 2) Poisson, Poisson( )
4 Uniform, U(a,b) DensityDistribution MeanVariance Used as a “first” model for a quantity that is felt to be randomly varying between a and b but about which little else is know. The U(a,b) distribution is essential in generating random values from all other distributions.
5 Uniform, U(a,b)
6 Exponential, expo( ) Interarrival times of “customers” to a system that occur at a constant rate. DensityDistribution MeanVariance
7 Exponential, expo( )
8 Normal, N( , 2) Errors of various types, e.g., in the impact point of a bomb, quantities that are the sum of a large number of other quantities (by virtue of central limit theorems) DensityDistribution MeanVariance no closed form
9 Normal, N( , 2)
10 Number of events that occur in an interval of time when the events are occuring at a constant rate; number of items in a batch of random size; number of items demanded from an inventory DensityDistribution MeanVariance Poisson, Poisson( )
11 Poisson, Poisson( )