6. Let's say the set X= {1, 2, 3, 4 is given as the whole space and M= {0, {3},{4},{1, 2},{3, 4), (1, 2, 3), (1,2,4}, {1,2,3,4}} is given as the o-algebra. If there is a suitable measure u: M-[0, 1] and (X, M, u) forms a probability space and satisfies u({3})= u({4})= explain in detail that } . u({1, 2, 4})= is established.
6. Let's say the set X= {1, 2, 3, 4 is given as the whole space and M= {0, {3},{4},{1, 2},{3, 4), (1, 2, 3), (1,2,4}, {1,2,3,4}} is given as the o-algebra. If there is a suitable measure u: M-[0, 1] and (X, M, u) forms a probability space and satisfies u({3})= u({4})= explain in detail that } . u({1, 2, 4})= is established.
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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Question
G.278.
![6. Let's say the set X= {1, 2, 3, 4 is given as the whole space and
M= {0, {3},{4},{1, 2},{3, 4}, {1, 2, 3},{1,2,4},{1,2,3,4}}
is given as the o-algebra. If there is a suitable measure u: M-[0, 1] and (X, M, u)
forms a probability space and satisfies u({3})= u({4})=, explain in detail that
u({1, 2, 4})= is established.
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd25e7ae4-05a0-4be8-b29f-85e80fb3618e%2Fcad18a6f-8a1f-4a7a-b146-401b618c9956%2Fn3rlp1r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. Let's say the set X= {1, 2, 3, 4 is given as the whole space and
M= {0, {3},{4},{1, 2},{3, 4}, {1, 2, 3},{1,2,4},{1,2,3,4}}
is given as the o-algebra. If there is a suitable measure u: M-[0, 1] and (X, M, u)
forms a probability space and satisfies u({3})= u({4})=, explain in detail that
u({1, 2, 4})= is established.
4
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