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Consider two events, A and B, such that P(A) > Oand P(B) > 0. Prove that a) If P(A/B) ≤ P(A) then P(BIA) ≤ P(B) b) If P(B|A) ≤ P(B) then P(A/B) ≤ P(A) 1

Consider two events, A and B, such that P(A) > Oand P(B) > 0. Prove that a) If P(A/B) ≤ P(A) then P(BIA) ≤ P(B) b) If P(B|A) ≤ P(B) then P(A/B) ≤ P(A) 1

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please answer both parts
ble les Pictures napes Icons 3D Models v Illustrations SmartArt Chart Screenshot ✓ Online Links Videos Media Comment Comments Header ✓ Footer ✓ Page Number ✓ Header & Footer Consider two events, A and B, such that P(A) > Oand P(B) > 0. Prove that a) If P(A/B) ≤ P(A) then P(BIA) ≤ P(B) b) If P(B|A) ≤ P(B) then P(A/B) ≤ P(A) H
Transcribed Image Text:ble les Pictures napes Icons 3D Models v Illustrations SmartArt Chart Screenshot ✓ Online Links Videos Media Comment Comments Header ✓ Footer ✓ Page Number ✓ Header & Footer Consider two events, A and B, such that P(A) > Oand P(B) > 0. Prove that a) If P(A/B) ≤ P(A) then P(BIA) ≤ P(B) b) If P(B|A) ≤ P(B) then P(A/B) ≤ P(A) H
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Step 1: Objective

Objective of this question is that we have to prove that 

(a)P(A|B)≤P(A),thenP(B|A)≤P(B)

(b) P(B|A)≤P(B),thenP(A|B)≤P(A)



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