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Showing results 1 to 24 of 24
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Posts Made By:
Michael Mastroianni
Forum:
Probability
12052018, 09:22 AM
Replies:
2
Actex Manual Exam P Question Bank is sufficiant
Views:
265
Posted By
Michael Mastroianni
I would say so. A large % of them are actually...
I would say so. A large % of them are actually from the SOA’s sample problems and the others are worthwhile practice. The sample exam problems at the end of the manual tend to be a bit more...
Forum:
Probability
11182018, 12:49 AM
Replies:
13
Please Any Input
Views:
1,185
Posted By
Michael Mastroianni
I felt the same way when making my video course. ...
I felt the same way when making my video course. I probably would have liked your manual when I was studying for P.
Forum:
Probability
11152018, 09:45 AM
Replies:
2
General Question Exam P
Views:
377
Posted By
Michael Mastroianni
It’s totally normal what you’re experiencing. ...
It’s totally normal what you’re experiencing. I’d spend more time analyzing each solution afterwards until you feel really comfortable with the steps taken to solve the problem and why the solution...
Forum:
Probability
09232018, 05:37 PM
Replies:
6
Failed Exam P twice!!! Where to go from here?
Views:
1,165
Posted By
Michael Mastroianni
I currently offer a video course for $99 which...
I currently offer a video course for $99 which has conciseness as one of its main advantages over other available resources so that you can very efficiently go over your weak topics: ...
Forum:
Probability
09032018, 11:41 PM
Replies:
2
Number 98 on SOA 328 sample questions
Views:
969
Posted By
Michael Mastroianni
An exponential function does not preserve...
An exponential function does not preserve multiplication. It converts addition to multiplication:
e^{t(X_{1}+X_{2}+X_{3})}=e^{tX_{1}}\cdot e^{tX_{2}}\cdot e^{tX_{3}}
...
Forum:
Probability
08122018, 05:33 PM
Replies:
2
SOA # 147 E(X)= lambda? 1/lambda^1?
Views:
865
Posted By
Michael Mastroianni
There are two common ways of parameterizing an...
There are two common ways of parameterizing an exponential:
(1) If you write the pdf in the form \lambda e^{\lambda x} then the expected value is \frac{1}{\lambda}.
(2) If you write the pdf in...
Forum:
Probability
08012018, 09:55 PM
Replies:
7
Darth Vader Rule for 2nd moments & Integration Shortcuts
Views:
1,479
Posted By
Michael Mastroianni
I suppose the proof would have been more clear...
I suppose the proof would have been more clear with "and" instead of that first ".", but I was writing the proof with greater generality in mind. You can write it that way for E[X^3] and other...
Forum:
Probability
07312018, 11:05 PM
Replies:
7
Darth Vader Rule for 2nd moments & Integration Shortcuts
Views:
1,479
Posted By
Michael Mastroianni
Yes, but you need X nonnegative for the next line...
Yes, but you need X nonnegative for the next line calculating the survival function of X^2 that way.
Forum:
Probability
07312018, 10:03 AM
Replies:
7
Darth Vader Rule for 2nd moments & Integration Shortcuts
Views:
1,479
Posted By
Michael Mastroianni
If X is nonnegative, then so is X^2 so you can...
If X is nonnegative, then so is X^2 so you can use “darth vader” on X^2.
F_{X^2}(t)=P(X^2\leq t)=P(X\leq\sqrt{t}) so S_{X^2}(t)=S_{X}(\sqrt{t})
E[X^2]=\int_{0}^{\infty} S_{X}(\sqrt{t}) \, dt =...
Forum:
Probability
07252018, 08:50 AM
Replies:
5
Independence of x and y (joint)
Views:
1,003
Posted By
Michael Mastroianni
I suppose if we’re going to be completely...
I suppose if we’re going to be completely precise, we should be clear that “rectangular” refers to any cartesian product of random variable supports (imagine the white piece of Finland’s flag). ...
Forum:
Probability
07242018, 08:24 AM
Replies:
5
Independence of x and y (joint)
Views:
1,003
Posted By
Michael Mastroianni
The rectangle can be unbounded, but yes. If the...
The rectangle can be unbounded, but yes. If the support is not rectangular, then the possible values of one variable depend on the value of the other. This is why. If both have a marginal pdf or...
Forum:
Probability
07232018, 10:03 PM
Replies:
3
New Video Course (free formula sheets)
Views:
2,922
Posted By
Michael Mastroianni
It means the world to me to get this feedback. ...
It means the world to me to get this feedback. You're the first person to be so kind to share your experience publicly on this forum and I really appreciate how thoughtful your review is.
Thank...
Forum:
Probability
07152018, 11:45 AM
Replies:
3
SOA Sample Question #309
Views:
956
Posted By
Michael Mastroianni
Perhaps this picture will help: ...
Perhaps this picture will help:
https://image.ibb.co/cW3snT/SOA309.png
Forum:
Probability
07142018, 04:44 PM
Replies:
4
SOA Sample Question #284
Views:
1,150
Posted By
Michael Mastroianni
Let X be your loss random variable and assume...
Let X be your loss random variable and assume R2Capital‘s calculation is correct. Then you need to solve for x such that:
\frac{P(15000<X\leq x)}{P(X>15000)}=\frac{P(X\leq x)P(X\leq...
Forum:
Probability
07112018, 04:54 PM
Replies:
4
Poisson Distribution
Views:
1,274
Posted By
Michael Mastroianni
I think we need you to elaborate on your...
I think we need you to elaborate on your confusion more to better help you. Both questions are asking for something that is calculated with sums.
The first question asks for the expected value of...
Forum:
Probability
07062018, 09:10 AM
Replies:
3
New Video Course (free formula sheets)
Views:
2,922
Posted By
Michael Mastroianni
Some quick updates about the course: • The...
Some quick updates about the course:
• The free formula sheets (http://formulas.probabilityexam.com) have been updated to include a small section for probability generating functions
• A lesson...
Forum:
Probability
07012018, 10:08 PM
Replies:
0
Free Practice Exam
Views:
651
Posted By
Michael Mastroianni
Free Practice Exam
I have added a free practice exam made up of completely original problems to my video course at www.ProbabilityExam.com (http://www.probabilityexam.com)
Direct link to the exam document:...
Forum:
Probability
06042018, 09:24 AM
Replies:
7
im baffled... help with series?
Views:
1,043
Posted By
Michael Mastroianni
So you have the number of hours in interval i is...
So you have the number of hours in interval i is X_{i}\sim \text{Exponential}(\lambda=\frac{1}{2})
The number of hours billed for this interval is dropping the decimal portion which is
\left...
Forum:
Probability
05052018, 04:35 AM
Replies:
2
Darth Vader Rule Question
Views:
1,134
Posted By
Michael Mastroianni
If X is a random variable defined on [a,\infty)...
If X is a random variable defined on [a,\infty) and a<0 then Xa is defined on [0,\infty) right? So Xa is nonnegative and you can use the rule:
\displaystyle E[Xa]=\int_{0}^{\infty}...
Forum:
Probability
04202018, 07:20 PM
Replies:
5
Help with Gamma Random Variable Problem
Views:
974
Posted By
Michael Mastroianni
Following Abraham’s method: ...
Following Abraham’s method:
\int_{0}^{\infty} x^5 \cdot e^{x/2} \, dx= 2^{6}\cdot\Gamma(6)=2^{6}\cdot 5!
Hence the answer would be \frac{2^6\cdot 5!}{2^4}=4\cdot 5!=480
Forum:
Probability
04062018, 08:50 PM
Replies:
86
Sticky:
Done with the exam? Share your Exam 1/P study notes here!
Views:
319,157
Posted By
Michael Mastroianni
I posted about this in another thread but I...
I posted about this in another thread but I figured I'd add it here too. I created a video course for sale, but provide free formula sheets in full that you can download here:...
Forum:
Probability
03292018, 02:44 PM
Replies:
3
Expected value question
Views:
1,070
Posted By
Michael Mastroianni
It looks like the answer to 15.12a is listed as...
It looks like the answer to 15.12a is listed as 2400 here (http://rationalargumentator.com/actuaryguide/Stolyarov_Finan_P_Answer_Keys.pdf) which appears to be his 2008 version.
The wording in the...
Forum:
Probability
03272018, 05:48 PM
Replies:
3
New Video Course (free formula sheets)
Views:
2,922
Posted By
Michael Mastroianni
New Video Course (free formula sheets)
Course page: http://www.probabilityexam.com
I am extremely proud and excited to release this new video course (www.probabilityexam.com) teaching everything on the syllabus for Exam 1/P.
As a...
Forum:
Probability
02182018, 06:12 PM
Replies:
7
Actex Sufficient?
Views:
1,374
Posted By
Michael Mastroianni
I also used Actex as my main study resource with...
I also used Actex as my main study resource with I think only 154 SOA problems available at the time and scored a 10 on my first attempt. I supplemented this with a textbook from college to...
Showing results 1 to 24 of 24
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