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8/16/2019 Discrete & Continuous Probabilty Distributions.pdf
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Jurusan Teknik IndustriJurusan Teknik Informatika
Fakultas Teknik
Universitas Yudharta Pasuruan
Qomaruddin, M.Si
8/16/2019 Discrete & Continuous Probabilty Distributions.pdf
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PengertianDaftar semua hasil percobaan dan probabilitas masing-masingoutcome.
Contoh.
8/16/2019 Discrete & Continuous Probabilty Distributions.pdf
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Pembahasan.
“zero heads” hanya muncul sekali
“one head” muncul 3x
“two head” muncul 3x
“three heads muncul sekali
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Pengertian
Hasil dari suatu percobaan nilainya berbeda
Bisa berupa diskrit ataupun kontinu
8/16/2019 Discrete & Continuous Probabilty Distributions.pdf
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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.
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8/16/2019 Discrete & Continuous Probabilty Distributions.pdf
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8/16/2019 Discrete & Continuous Probabilty Distributions.pdf
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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
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Bagaimana cara menghitung &
menggunakan distribusi probabilitas
Binomial?
8/16/2019 Discrete & Continuous Probabilty Distributions.pdf
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= (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
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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
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8/16/2019 Discrete & Continuous Probabilty Distributions.pdf
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8/16/2019 Discrete & Continuous Probabilty Distributions.pdf
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=
=(1)
= (1 )
Keterangan.
: rata-rata
: varian
: simpangan baku
n : jumlah percobaan
: probabilitas keberhasilan
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Menjawab Keterbatasan Distribusi
Binomial
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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
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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
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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
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