(b) Α and Β are two events, not mutually exclusive, connected with a random experiment Ε . If Ρ( Α) =  p , Ρ (Β )=  2 p and Ρ (Α ∪ Β) = p2 , and , P (A ∩ B) = 0.65 find the following:  i. The value of p  ii. Ρ( Α ∩ Β')  iii. Ρ (Α' ∪ Β')

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.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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(b) Α and Β are two events, not mutually exclusive, connected with a random experiment Ε
. If Ρ( Α) =  p , Ρ (Β )=  2 p and Ρ (Α ∪ Β) = p2 , and , P (A ∩ B) = 0.65 find the following: 
i. The value of p 
ii. Ρ( Α ∩ Β') 
iii. Ρ (Α' ∪ Β') 

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