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Search: Posts Made By: Michael Mastroianni
Forum: Probability 12-05-2018, 09:22 AM
Replies: 2
Views: 265
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 11-18-2018, 12:49 AM
Replies: 13
Views: 1,185
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 11-15-2018, 09:45 AM
Replies: 2
Views: 377
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 09-23-2018, 05:37 PM
Replies: 6
Views: 1,165
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 09-03-2018, 11:41 PM
Replies: 2
Views: 969
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 08-12-2018, 05:33 PM
Replies: 2
Views: 865
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 08-01-2018, 09:55 PM
Replies: 7
Views: 1,479
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 07-31-2018, 11:05 PM
Replies: 7
Views: 1,479
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 07-31-2018, 10:03 AM
Replies: 7
Views: 1,479
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 07-25-2018, 08:50 AM
Replies: 5
Views: 1,003
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 07-24-2018, 08:24 AM
Replies: 5
Views: 1,003
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 07-23-2018, 10:03 PM
Replies: 3
Views: 2,922
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 07-15-2018, 11:45 AM
Replies: 3
Views: 956
Perhaps this picture will help: ...

Perhaps this picture will help:
https://image.ibb.co/cW3snT/SOA309.png
Forum: Probability 07-14-2018, 04:44 PM
Replies: 4
Views: 1,150
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 07-11-2018, 04:54 PM
Replies: 4
Views: 1,274
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 07-06-2018, 09:10 AM
Replies: 3
Views: 2,922
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 07-01-2018, 10:08 PM
Replies: 0
Views: 651
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 06-04-2018, 09:24 AM
Replies: 7
Views: 1,043
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 05-05-2018, 04:35 AM
Replies: 2
Views: 1,134
If X is a random variable defined on [a,\infty)...

If X is a random variable defined on [a,\infty) and a<0 then X-a is defined on [0,\infty) right? So X-a is nonnegative and you can use the rule:

\displaystyle E[X-a]=\int_{0}^{\infty}...
Forum: Probability 04-20-2018, 07:20 PM
Replies: 5
Views: 974
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 04-06-2018, 08:50 PM
Replies: 86
Views: 319,157
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 03-29-2018, 02:44 PM
Replies: 3
Views: 1,070
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 03-27-2018, 05:48 PM
Replies: 3
Views: 2,922
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 02-18-2018, 06:12 PM
Replies: 7
Views: 1,374
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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