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.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 38E: Determine whether the set R2 with the operations (x1,y1)+(x2,y2)=(x1x2,y1y2) and c(x1,y1)=(cx1,cy1)...
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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
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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