Ir. I Nyoman Setiawan, MT VARIABEL ACAK DAN EKSPEKTASI (Random Variable and Expectation) 1. Sheldon...
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Transcript of Ir. I Nyoman Setiawan, MT VARIABEL ACAK DAN EKSPEKTASI (Random Variable and Expectation) 1. Sheldon...
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Ir. I Nyoman Setiawan, MT
VARIABEL ACAK DAN EKSPEKTASI (Random Variable and Expectation)
1. Sheldon M Ross, Introduction Probability and Statistics for Engineers and Scientists, 2004
2. Oliver C. Ib, Fundamentals of Applied Probability and Random Proceses, 2005
3. John A Gubner, Probability and random Processes for Electrical and Computer Engineers, 2006
4. KA Stroud, Engineering Mathematics ,2001
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Ir. I Nyoman Setiawan, MT
Pengertian Variabel Acak (Random Variable)
Variabel acak (Random Variable) adalah suatu fungsi yang mengaitkan suatu bilangan real pada setiap unsur ruang sampel
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Ir. I Nyoman Setiawan, MT
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Ir. I Nyoman Setiawan, MT
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Ir. I Nyoman Setiawan, MT
Fungsi Distribusi Kumulatif (Cumulatif Distribution Function /CDF)
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Ir. I Nyoman Setiawan, MT
Properties Fx(x)
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Ir. I Nyoman Setiawan, MT
Contoh :
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Ir. I Nyoman Setiawan, MT
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Ir. I Nyoman Setiawan, MT
Penyelesaian :
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Ir. I Nyoman Setiawan, MT
Variabel Acak Diskret (Discrete Random Variable)
Fungsi Masa Probabilitas (Probability Mass Function/PMF)
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Ir. I Nyoman Setiawan, MT
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Ir. I Nyoman Setiawan, MT
Penyelesaian :
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Ir. I Nyoman Setiawan, MT
Penyelesaian :
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Ir. I Nyoman Setiawan, MT
Penyelesaian :
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Ir. I Nyoman Setiawan, MT
Variabel Acak Kontinu (Continuous Random Variable)
Fungsi Padat Probabilitas (Probability Dencity Function/PDF)
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Ir. I Nyoman Setiawan, MT
Properties dari fx (x)
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Ir. I Nyoman Setiawan, MT
Contoh :
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Ir. I Nyoman Setiawan, MT
Penyelesaian :
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Ir. I Nyoman Setiawan, MT
Penyelesaian :
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Ir. I Nyoman Setiawan, MT
Ekspektasi (Expectation)
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Ir. I Nyoman Setiawan, MT
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Ir. I Nyoman Setiawan, MT
Contoh :
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Ir. I Nyoman Setiawan, MT
Moment
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Ir. I Nyoman Setiawan, MT
VarianCentral Moment ke n
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Ir. I Nyoman Setiawan, MT
Contoh :
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Ir. I Nyoman Setiawan, MT
Penyelesaian :
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Ir. I Nyoman Setiawan, MT
Penyelesaian :
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Ir. I Nyoman Setiawan, MT
Penyelesaian :
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Ir. I Nyoman Setiawan, MT
Contoh :
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Ir. I Nyoman Setiawan, MT
Penyelesaian :