eld of subsets of 2 and suppose Q: B [0, 1] is a set dditive on B. 1 for all A e B and Q(2) = 1. disjoint and E1 A¡ = 2, then , Q(A;) = 1. %3D
eld of subsets of 2 and suppose Q: B [0, 1] is a set dditive on B. 1 for all A e B and Q(2) = 1. disjoint and E1 A¡ = 2, then , Q(A;) = 1. %3D
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 : BH [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 E A; = 2, then E Q(A¡) = 1.
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae868e95-a7da-4a8b-8adc-1a37eb9f6339%2Fc5371888-791f-4fcb-b7a8-602ed79bae7e%2Fjv7oihb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:16. Suppose B is a o-field of subsets of 2 and suppose Q : BH [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 E A; = 2, then E Q(A¡) = 1.
%3D
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