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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 20E: Decide whether the following pairs of events are dependent or independent. C is the event that it...
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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)
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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