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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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![16. Suppose B is a o-field of subsets of 2 and suppose Q: B [0, 1] is a set
function satisfying
(a) Q is finitely additive on B.
(b) 0 < Q(A) <1 for all A e B and Q(2) = 1.
(c) If A¡ e B are disjoint and , Ai = 2, then Q(A;) = 1.
%3D
Show Q is a probability measure; that is, show Q is o-additive.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe03fc8e8-89b3-46c3-9d1b-b8a8633ca93d%2F89515f84-ed2c-4be2-8e5f-0da5c1a677aa%2F93vhbof_processed.jpeg&w=3840&q=75)
Transcribed Image Text:16. Suppose B is a o-field of subsets of 2 and suppose Q: B [0, 1] is a set
function satisfying
(a) Q is finitely additive on B.
(b) 0 < Q(A) <1 for all A e B and Q(2) = 1.
(c) If A¡ e B are disjoint and , Ai = 2, then Q(A;) = 1.
%3D
Show Q is a probability measure; that is, show Q is o-additive.
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