Variabel acak: Béda antarrépisi
Konten dihapus Konten ditambahkan
Budhi (obrolan | kontribusi) |
Budhi (obrolan | kontribusi) |
||
Baris ka-16:
=== Fungsi variabel random ===
Lamun urang ngabogaan variabel random ''X'' on Ω jeung hiji [[measurable function|fungsi ukuran]] ''f'':'''R'''->'''R''', maka ''Y''=''f''(''X'') oge jadi variabel random dina Ω,
Fungsi sebaran kumulatif ''Y'' nyaeta
:<math>F_Y(y) = \operatorname{P}(f(X) < y).</math>
Baris ka-23:
==== Conto ====
:<math>F_Y(y) = \operatorname{P}(X^2 < y).</math>
:<math>F_Y(y) = 0\qquad\hbox{if}\quad y < 0.</math>
:<math>\operatorname{P}(X^2 < y) = \operatorname{P}(|X| < \sqrt{y})
= \operatorname{P}(-\sqrt{y} < X < \sqrt{y}),</math>
mangka
:<math>F_Y(y) = F_X(\sqrt{y}) - F_X(-\sqrt{y})\qquad\hbox{if}\quad y \ge 0.</math>
|