DEBRINA PUSPITA ANDRIANIdebrina.lecture.ub.ac.id/files/2018/04/9_Distribusi_Uniform.pdf ·...
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> < ANDRIANI, DEBRINA PUSPITA – INDUSTRIAL ENGINEERING DEPT., UB 1 DEBRINA PUSPITA ANDRIANI [email protected] / [email protected] www.debrina.lecture.ub.ac.id Academic Background 2011 to Jul 2013 Master Degree of Mechanical System Engineering Dept., Kumamoto University, Japan 2007 to Jan 2011 Bachelor Degree of Industrial Engineering Dept., University of Brawijaya, Malang 2004 to 2007 SMA Negeri 2 Kediri Research Interest Product Design and Development Risk and Decision Analysis Business Strategies and Brand Management Statistic and Quality Engineering @
Transcript of DEBRINA PUSPITA ANDRIANIdebrina.lecture.ub.ac.id/files/2018/04/9_Distribusi_Uniform.pdf ·...
> < ANDRIANI, DEBRINA PUSPITA – INDUSTRIAL ENGINEERING DEPT., UB 1
DEBRINA PUSPITA ANDRIANI
[email protected] / [email protected] !www.debrina.lecture.ub.ac.id !
Academic Background 2011 to Jul 2013 Master Degree of Mechanical System Engineering Dept., Kumamoto University, Japan 2007 to Jan 2011 Bachelor Degree of Industrial Engineering Dept., University of Brawijaya, Malang 2004 to 2007 SMA Negeri 2 Kediri
Research Interest Product Design and Development Risk and Decision Analysis Business Strategies and Brand Management Statistic and Quality Engineering
@!
Rencana Pembelajaran Semester Pertemuan ke-9 s.d 16
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Statistika Industri I Referensi
¡ Referensi Utama: ¡ Walpole, R.E., Myers, R.H., Myers, S.L., Ye, K., 2012. Probability &
Statistics for Engineers & Scientists. Prentice Hall, Boston.
¡ Referensi Pendukung: ¡ Bluman, A.G., 2012. Elementary Statistics: A Step by Step Approach,
8th ed. McGraw-Hill, New York.
¡ Mendenhall, W.M., Sincich, T., 2016. Statistics for Engineering and The Sciences, 6th ed. CRC Press, Taylor & Francis Group, Boca Raton.
¡ Montgomery, D.C., Runger, G.C., Hubele, N.F., 2011. Engineering Statistics, 5th ed. John Wiley, Hoboken, NJ.
¡ Ross, S.M., 2014. Introduction to Probability and Statistics for Engineers and Scientists, 5th ed. Elsevier, AP, Amsterdam ; Boston.
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Kuis 2 dan Tugas Terstruktur Kuis 2
¡ Take home test
¡ Offline based test
¡ Open System
¡ Materi pertemuan ke-9 s.d 15
Tugas Terstruktur
¡ Dikerjakan secara individu
¡ Dikumpulkan kumulatif pada minggu ke-7
¡ Keterlambatan pengumpulan tugas = - 10 poin/jam
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Distribusi Probabilitas : Uniform Statistika Industri 1 Semester Genap 2017/2018 Jurusan Teknik Industri - Universitas Brawijaya 9
Outline
Distribusi Probabilitas Uniform Diskrit
Distribusi Probabilitas Uniform Kontinu
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Distribusi Probabilitas
Uniform DISKRIT Distribusi probabilitas yg paling sederhana
adalah jikalau tiap nilai variabel random memiliki probabilitas yg sama untuk terpilih
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Distribusi Probabilitas Uniform Diskrit
¡ Jika variabel random X bisa memiliki nilai x1,x2, …, xk dan masing-masing bisa muncul dengan probabilitas yg sama maka distribusi probabilitasnya diberikan oleh :
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Contoh 1.
Sebuah koin ideal memiliki muka : Angka dan Gambar. Jika x menyatakan banyaknya angka muncul, maka x = 0 dan 1, maka distribusi probabilitasnya:
f(x;2)= ½ x=0,1
f(x;k)=1/k untuk x= x1,x2, …, xk
Notasi f(x;k) menyatakan nilai fungsi f tergantung pada k
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Contoh 3.
Distribusi Probabilitas
Uniform KONTINU Jika variabel random X memiliki nilai
(kontinu) dengan kemungkinan kemunculan yang sama
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Distribusi Probabilitas Uniform Kontinu Jika variabel random X memiliki nilai (kontinu) dengan kemungkinan kemunculan yang sama maka dikatakan bahwa variabel random (kontinu) x mengikuti distribusi uniform dengan fungsi densitas probabilitas:
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Densitas uniform [0,5] : 1/5 for 0 < X < 5 f(x)= 0 lainnya E(X) = 2.5
{
6 5 4 3 2 1 0 - 1
0 . 5
0 . 4
0 . 3
0 . 2
0 . 1
0.0 .
x
f ( x )
Total luas area f(x) = 1/5 * 5 = 1.00
Luas area di bawah f(x) Interval 1 sampai 3 = P(1 < X < 3) = 2.(1/5) = 2/5
Distribusi Uniform
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Distribusi Uniform Kontinu
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Contoh 2.
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