Actuarial Outpost Uniform Distribution Ratios
 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

Search Actuarial Jobs by State @ DWSimpson.com:
AL AK AR AZ CA CO CT DE FL GA HI ID IL IN IA KS KY LA
ME MD MA MI MN MS MO MT NE NH NJ NM NY NV NC ND
OH OK OR PA RI SC SD TN TX UT VT VA WA WV WI WY

 Probability Old Exam P Forum

#1
01-29-2015, 11:14 AM
 zjbarden Member CAS Join Date: Oct 2013 Location: New York, NY Studying for 1/P College: St. John's University Favorite beer: Angry Orchard Posts: 131 Blog Entries: 6
Uniform Distribution Ratios

Quick question about a level 4 CA question I came across... I was able to manipulate my solution to arrive at the same answer, but the solution they gave me did not seem that straightforward. I understand they are setting up the b-x/b-x ratio in order to solve for b and then substitute into b-a to solve for a... but I am at a loss in figuring out if this is actually an attribute of uniform distributions, or just another manipulation? How do they get 3b-15 and etc..?

It might just be the fact that it's been a foggy morning for me, as I feel like the reasoning is quite simple.

Thanks!

__________________
Quote:
 Originally Posted by CubsPhan Unfortunately you've joined the AO, where enthusiasm for being an actuary goes to die.
P | FM | MFE | MLC | C
Economics | Applied Statistics | Corporate Finance

"Those who fail to plan, plan to fail. Therefore, I must plan my work, and work my plan."
#2
01-29-2015, 11:25 AM
 Abelian Grape Meme-ber                         Meme-ber CAS Join Date: Jul 2014 Favorite beer: Allagash Curieux Posts: 42,918

Think about the definition of a uniform distribution and its properties. As for the second question it's just straight arithmetic... $\frac{1/2}{5/6} = \frac{1}{2}\times\frac{6}{5}=\frac{3}{5}$
__________________
1 2 3F MAS-I MAS-II 5 6 7 8 9 OC1 OC2 VEEs CoP

#3
01-29-2015, 12:07 PM
 trevmac123 Member CAS Join Date: Oct 2014 Studying for FCAS Favorite beer: CBC Creeper Posts: 244

Another way to think about it is that they just cross-multiplied and multiplied everything by 6 in the same step.
__________________
ACAS 7 8 9
#4
01-29-2015, 12:08 PM
 zjbarden Member CAS Join Date: Oct 2013 Location: New York, NY Studying for 1/P College: St. John's University Favorite beer: Angry Orchard Posts: 131 Blog Entries: 6

Quote:
 Originally Posted by Abelian Grape Think about the definition of a uniform distribution and its properties. As for the second question it's just straight arithmetic... $\frac{1/2}{5/6} = \frac{1}{2}\times\frac{6}{5}=\frac{3}{5}$
Quote:
 Originally Posted by trevmac123 Another way to think about it is that they just cross-multiplied and multiplied everything by 6 in the same step.

I see it now. Thank God for you guys, and for coffee.
__________________
Quote:
 Originally Posted by CubsPhan Unfortunately you've joined the AO, where enthusiasm for being an actuary goes to die.
P | FM | MFE | MLC | C
Economics | Applied Statistics | Corporate Finance

"Those who fail to plan, plan to fail. Therefore, I must plan my work, and work my plan."