Actuarial Outpost Exam P Help Please
 Register Blogs Wiki FAQ Calendar Search Today's Posts Mark Forums Read
 FlashChat Actuarial Discussion Preliminary Exams CAS/SOA Exams Cyberchat Around the World Suggestions

ACTUARIAL SALARY SURVEYS - From Entry to Fellow

#1
07-27-2012, 05:28 PM
 Dansanon CAS SOA AAA Join Date: Jul 2011 Studying for P1 Exam Posts: 15

By definition ( "/" inside () means conditional )
P(A/B)= P(A∩B) / P(B)..WHY ISN'T P( (AUB) / C) = P( (AUB) ∩ C) / P(C).

ALSO WHAT IS P( C/ (AUB) )=?..PLEASE PROVIDE CLEAR PROOF. THANKS.
#2
07-27-2012, 06:07 PM
 crusher2011 CAS SOA Join Date: Jul 2012 Posts: 15

you are exactly right about P(AUB|C)=P((AUB)∩C)/P(C), but it can be simplified if A, B, and C are independent, you can do that as an exercise if you want. if you want the answer reply to this.

P(C|AUB)=P((AUB)∩C)/P(AUB)=P((A∩C)U(B∩C))/P(AUB)=(P(A∩C)+P(B∩C)-P(A∩B∩C))/(P(A)+P(B)-P(A∩B)) which is complete unless A B and C are independent. remember if A and B are independent, then P(A∩B)=P(A)P(B)

Last edited by crusher2011; 07-27-2012 at 06:25 PM..
#3
07-28-2012, 03:18 AM
 Dansanon CAS SOA AAA Join Date: Jul 2011 Studying for P1 Exam Posts: 15

so many people view this post but no answer can somebody throw some ideas please?
#4
07-29-2012, 12:02 AM
 trainump Member SOA AAA Join Date: Jul 2012 Studying for MLC College: Texas State Favorite beer: Petticolas Wintervention Posts: 43

Quote:
 Originally Posted by Dansanon so many people view this post but no answer can somebody throw some ideas please?
What's wrong with what crusher said?
__________________
P FM MFE MLC C
Finance | Economics | Statistics
#5
07-30-2012, 01:46 PM
 Michaluk Member Join Date: Jul 2012 Posts: 30

Quote:
 Originally Posted by Dansanon By definition ( "/" inside () means conditional ) P(A/B)= P(A∩B) / P(B)..WHY ISN'T P( (AUB) / C) = P( (AUB) ∩ C) / P(C).
#6
07-30-2012, 02:39 PM
 crusher2011 CAS SOA Join Date: Jul 2012 Posts: 15

P(AUB|C)=P(AUB) if A, B, and C are independent events. Any other answers must have some other type of defined relationship.
__________________
P/1 FM/2 MFE/3F MLC/3L C/4 VEE Economics VEE Statistics VEE Finance
#7
07-30-2012, 02:41 PM
 Actuarialsuck Member Join Date: Sep 2007 Posts: 5,360

Quote:
 Originally Posted by crusher2011 P(AUB|C)=P(AUB) if A, B, and C are independent events. Any other answers must have some other type of defined relationship.
Are you sure all of them need to be ind.?
__________________
Quote:
 Originally Posted by Buru Buru i'm not. i do not troll.
#8
07-30-2012, 03:47 PM
 Actuarialsuck Member Join Date: Sep 2007 Posts: 5,360

Quote:
 Originally Posted by fargo_viper http://www.actuarialoutpost.com/actu...d.php?t=244660
That's why I love when people start multiple threads with the same problem. :facepalm:
__________________
Quote:
 Originally Posted by Buru Buru i'm not. i do not troll.

 Thread Tools Display Modes Linear Mode

 Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off

All times are GMT -4. The time now is 08:14 PM.

 -- Default Style - Fluid Width ---- Default Style - Fixed Width ---- Old Default Style ---- Easy on the eyes ---- Smooth Darkness ---- Chestnut ---- Apple-ish Style ---- If Apples were blue ---- If Apples were green ---- If Apples were purple ---- Halloween 2007 ---- B&W ---- Halloween ---- AO Christmas Theme ---- Turkey Day Theme ---- AO 2007 beta ---- 4th Of July Contact Us - Actuarial Outpost - Archive - Privacy Statement - Top