8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 1/20

Jurusan Teknik IndustriJurusan Teknik Informatika

Fakultas Teknik

Universitas Yudharta Pasuruan

Qomaruddin, M.Si

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 2/20

PengertianDaftar semua hasil percobaan dan probabilitas masing-masingoutcome.

Contoh.

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 3/20

Pembahasan.

“zero heads”  hanya muncul sekali

“one head”  muncul 3x

“two head”  muncul 3x

“three heads  muncul sekali

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 4/20

Pengertian

Hasil dari suatu percobaan  nilainya berbeda

Bisa berupa diskrit ataupun kontinu

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 5/20

Variable Diskrit

hasil penghitungan

Contoh.Jumlah mahasiswa masing-masing kelas & jurusan di FakultasTeknik UYP

• TI “A”  40 mhs

• TI “B”  25 mhs

• T. Industri  20 mhs

Variabel Kontinuhasil pengukuran

Contoh

Tinggi badan mahasiswa Teknik Industri, yaitu: 160 cm, 163 cm,165 cm, 168 cm, 170 cm, 175 cm.

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 6/20

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 7/20

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 8/20

Rata-rata (mean)

= ()  

=

() 

Varian & Standar Deviasi

Keterangan.

  : rata-rata

  : varian

  : simpangan baku

 x  : variable acak

P( x) : probabilitas x   

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 9/20

Bagaimana cara menghitung &

menggunakan distribusi probabilitas

Binomial?

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 10/20

=   (1 )−  

Bentuk Umum 

Keterangan:

 P(x)  : probabilitas distribusi binomial

C   : Combinasi

n  : jumlah percobaan

 x  : jumlah percobaan yg berhasilπ   : probabilitas keberhasilan masing-masing percobaan 

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 11/20

Contoh.

Maskapai Penerbangan Air Asia, dari Lima penerbangan pesawat Air

 Asia, kemungkinan keterlambatan penerbangan adalah 20%.

a. Berapakah probabilitas tidak ada pesawat yang terbang

terlambat?

b. Berapakah kemungkinan satu penerbangan yang PASTI

terlambat?

Pembahasan 

Diketahui

n = 5

π  = 0,2

 x = 0 . . . . ?

 x = 1 . . . . ?

=  

 (1 )−  

0 = 5(0,2) (1 0,2)− 

0 = 0,3277 

1 = 5(0,2) (1 0,2)− 

1 = 0,4096 

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 12/20

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 13/20

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 14/20

=  

=(1) 

= (1 ) 

Keterangan.

  : rata-rata

  : varian

  : simpangan baku

n  : jumlah percobaan

  : probabilitas keberhasilan

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 15/20

 

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 16/20

Menjawab Keterbatasan Distribusi

Binomial

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 17/20

Pengertian

Menggambarkan jumlah waktu pada beberapa kejadian

selama interval tertentu.

Ciri ciri

Distribusi Probabilitas Diskrit

Nilai Probabilitas proporsional dengan ukuran interval

Independent kemunculan pada satu interval tidak

berpengaruh pada interval yang lain

Kemiringannya tidak pernah negatif

Distribusinya bergantung nilai  

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 18/20

Bentuk Umum

=  −

!  Keterangan.

  : rata-rata

  : varian

  : simpangan baku

 x  : variable acak

P( x) : probabilitas x   

= ()  

= ()  

Rata-rata (mean) 

Varian & Standar Devisasi 

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 19/20

Contoh

Dari 1000 penerbangan suatu maskapai, terdapat 300

bagasi yang hilang.

a. Berapakah probabilitas tidak ada bagasi yang

hilang?

b. Berapakah probabilitas hilang 1 bagasi?

=  −!  

Pembahasan

8/16/2019 Discrete & Continuous Probabilty Distributions.pdf

http://slidepdf.com/reader/full/discrete-continuous-probabilty-distributionspdf 20/20