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#1
09-27-2006, 02:53 PM
 Tom Actuarial Outpost Administrator Contact me: Send me a PMor email me tom.troceen@dwsimpson.com CAS SOA COPA Join Date: Jan 1987 Location: Sitting in front of a red button w/ your name on it College: FSU ActSci Alumni Favorite beer: Root Posts: 12,490 Blog Entries: 7
Done with the exam? Share your Exam 1/P study notes here!

You can post your notes online using the upload button after clicking post reply, or you can always email them to me at tom(at)actuarialoutpost.com. If that isn't easy enough, just PM me here and I can send you my fax number or we can work something else out!

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#2
11-19-2006, 06:16 PM
 theteacher the member Join Date: Aug 2006 Location: Atlanta Posts: 79
Discrete Distributions

I typed up these tables to help me memorize the discrete distributions. I started each study session by filling in everything I could remember, then reviewing the things I didn't remember. I did the same with the continuous distributions, but I can't find the file

I found that knowing all the distributions like the back of my hand was somewhat helpful during the exam, but not nearly as helpful as having done tons of problems.
Attached Files
 Discrete Distributions.doc (126.0 KB, 19833 views) Discrete Distributions Blank.doc (38.0 KB, 9240 views)
#3
12-08-2006, 12:35 PM
 Tom Actuarial Outpost Administrator Contact me: Send me a PMor email me tom.troceen@dwsimpson.com CAS SOA COPA Join Date: Jan 1987 Location: Sitting in front of a red button w/ your name on it College: FSU ActSci Alumni Favorite beer: Root Posts: 12,490 Blog Entries: 7

We had a member that did not have Microsoft Word to open theteacher's notes, so I'm posting it in Wordpad format for people that do not have access to Microsoft Office. Enjoy

Discrete Distributions Wordpad Version.rtf
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#4
12-08-2006, 01:12 PM
 Kazodev Member SOA Join Date: May 2004 Posts: 3,393

In the formula for Variance of Uniform you have a mistake, the term you are subtracting should be $\left( \frac{\sum_{i=1}^{n} x_i}{n} \right) ^2$ I believe. Also, at least for me, where it says $n \in ...$ it's coming out weird, is that supposed to be $n \in Z^+$ ?
#5
12-08-2006, 02:01 PM
 daaaave David Revelle Join Date: Feb 2006 Posts: 3,048

Quote:
 Originally Posted by Kazodev In the formula for Variance of Uniform you have a mistake, the term you are subtracting should be $\left( \frac{\sum_{i=1}^{n} x_i}{n} \right) ^2$ I believe. Also, at least for me, where it says $n \in ...$ it's coming out weird, is that supposed to be $n \in Z^+$ ?
I agree with both of these comments. Also, I don't find it useful to have a formula for the variance of random variable that is uniformly selected from an arbitrary set of n elements, but I can see it being useful to have a formula for the variance of a discrete uniform[1,n] random variable. (I don't actually know what that variance is off the top of my head, so I obviously don't find it that useful, but I do find it useful to know that the variance of a uniform[0,1] random variable is 1/12.)
#6
12-08-2006, 02:14 PM
 Kazodev Member SOA Join Date: May 2004 Posts: 3,393

In general the variance of U[a,b] is $\frac{\left( b - a \right) ^2}{12}$ I think.
#7
12-08-2006, 02:26 PM
 daaaave David Revelle Join Date: Feb 2006 Posts: 3,048

Quote:
 Originally Posted by Kazodev In general the variance of U[a,b] is $\frac{\left( b - a \right) ^2}{12}$ I think.
In the continuous case, yes. This follows immediately from the fact that the variance of U[0,1]=1/12 and a U[a,b] is a shifted and rescaled U[0,1]. The discrete case has a correction factor and so it isn't just n^2/12.
#8
12-08-2006, 03:25 PM
 Kazodev Member SOA Join Date: May 2004 Posts: 3,393

Quote:
Originally Posted by daaaave
Quote:
 Originally Posted by Kazodev In general the variance of U[a,b] is $\frac{\left( b - a \right) ^2}{12}$ I think.
In the continuous case, yes. This follows immediately from the fact that the variance of U[0,1]=1/12 and a U[a,b] is a shifted and rescaled U[0,1]. The discrete case has a correction factor and so it isn't just n^2/12.
Ah you're right, the variance for discrete is is $\frac{n^2 - 1}{12}$
#9
01-24-2007, 05:37 PM
 Nonpareil Note Contributor Join Date: Nov 2006 Location: Rocket City Studying for Exam C Posts: 833

You can download my notes for Exam P at: http://www.actuarialoutpost.com/down...for-Exam-P.doc

It's mostly formulas, with a few shortcuts, and some comments, based on my own experience with the exam and what I've learned from this forum.
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#10
02-19-2007, 11:57 PM
 volva yet Note Contributor Join Date: Feb 2006 Location: Nomadic Studying for GHC/DMAC College: PSU '07 Favorite beer: Oskar Blues Old Chub Scotch Ale Posts: 4,948

http://www.actuarialoutpost.com/actu...d.php?t=102752
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