apterz- 11. Let (2, B, P) be ([0, 1], B([0, 1]), 1) where À is Lebesgue measure on [0, 1]. Define the process {X,,0

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apterz- 11. Let (2, B, P) be ([0, 1], B([0, 1]), 1) where À is Lebesgue measure on<br>[0, 1]. Define the process {X,,0 <t< 1} by<br>if t + w,<br>0,<br>X,(w) =<br>1,<br>%3D<br>if t = w.<br>Show that each X, is a random variable. What is the o-field generated by<br>{X,,0<t < 1}?<br>

Extracted text: apterz- 11. Let (2, B, P) be ([0, 1], B([0, 1]), 1) where À is Lebesgue measure on [0, 1]. Define the process {X,,0 <>< 1}="" by="" if="" t="" +="" w,="" 0,="" x,(w)="1," %3d="" if="" t="w." show="" that="" each="" x,="" is="" a="" random="" variable.="" what="" is="" the="" o-field="" generated="" by=""><>

Jun 06, 2022

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apterz- 11. Let (2, B, P) be ([0, 1], B([0, 1]), 1) where À is Lebesgue measure on [0, 1]. Define the process {X,,0

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