Can you help plz..
i dont know how to prove this:
A,B,C are 3 independent events.
We must prove that A and BUC are independent too
link
0
1 reply to this topic
#2
-
- Members
-
- 1239 posts
Senior Member
Posted 16 October 2004 - 11:34 PM
hmm, let me sketch this out:
To prove A and BuC are in dependant, BuC must equal BuC|A
(BTW, | is given, so BuC given A must equal BuC)
General: X | Z = (XnZ) / Z
BuC | A = (BuC n A) / A
When A and B dependant , AnB = A|B * B
When A and B independent AnB = A*B
So
BuC | A = (BuC * A) / A
BuC | A = BuC
Therefore, BuC is independant of A
(I hope that's what you're after)
To prove A and BuC are in dependant, BuC must equal BuC|A
(BTW, | is given, so BuC given A must equal BuC)
General: X | Z = (XnZ) / Z
BuC | A = (BuC n A) / A
When A and B dependant , AnB = A|B * B
When A and B independent AnB = A*B
So
BuC | A = (BuC * A) / A
BuC | A = BuC
Therefore, BuC is independant of A
(I hope that's what you're after)
1 user(s) are reading this topic
0 members, 1 guests, 0 anonymous users
