-hapter3- 11. Let (2, B, P) be ([0, 1], B([0, 1]), 1) where A is Lebesgue measure on [0, 1]. Define the process {X,,0
-hapter3- 11. Let (2, B, P) be ([0, 1], B([0, 1]), 1) where A is Lebesgue measure on [0, 1]. Define the process {X,,0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![chapter2- 11. Let (2, B, P) be ([0, 1], B([0, 1]), 2) where A is Lebesgue measure on
[0, 1]. Define the process {X,,0 <t< 1} by
0, if t #w,
X;(@) =
1,
if t = w.
Show that each X, is a random variable. What is the o-field generated by
{X1,0 <t < 1}?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88cbab8d-c822-43bc-85ef-d506fb941242%2F2891b70f-d91c-4b36-b701-d5e20f3e3592%2Fexbxsof_processed.jpeg&w=3840&q=75)
Transcribed Image Text:chapter2- 11. Let (2, B, P) be ([0, 1], B([0, 1]), 2) where A is Lebesgue measure on
[0, 1]. Define the process {X,,0 <t< 1} by
0, if t #w,
X;(@) =
1,
if t = w.
Show that each X, is a random variable. What is the o-field generated by
{X1,0 <t < 1}?
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