1 Pertemuan #3 Probability Distribution Matakuliah: H0332/Simulasi dan Permodelan Tahun: 2005 Versi: 1/1.

Presentasi berjudul: "1 Pertemuan #3 Probability Distribution Matakuliah: H0332/Simulasi dan Permodelan Tahun: 2005 Versi: 1/1."— Transcript presentasi:

1 1 Pertemuan #3 Probability Distribution Matakuliah: H0332/Simulasi dan Permodelan Tahun: 2005 Versi: 1/1

2 2 Learning Outcomes Pada akhir pertemuan ini, diharapkan mahasiswa akan mampu : Mahasiswa dapat menghubungkan probability distribution dengan fenomena yang sesuai (C4)

3 3 Outline Materi Uniform, U(a,b) Exponential, expo(  ) Normal, N( ,  2) Poisson, Poisson( )

4 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 5 Uniform, U(a,b)

6 6 Exponential, expo(  ) Interarrival times of “customers” to a system that occur at a constant rate. DensityDistribution MeanVariance

7 7 Exponential, expo(  )

8 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 9 Normal, N( ,  2)

10 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 11 Poisson, Poisson( )