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Showing results 1 to 25 of 33
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Posts Made By:
Michael Mastroianni
Forum:
Probability
02222019, 12:10 PM
Replies:
0
Exam P Video Lessons
Views:
806
Posted By
Michael Mastroianni
Exam P Video Lessons
Many of you might already know about this course, but for those looking for quality study resources for exam P that haven't seen it:
http://www.probabilityexam.com
I spent 2 years slowly...
Forum:
Probability
02152019, 10:36 AM
Replies:
3
Exam P Practice Question 238
Views:
642
Posted By
Michael Mastroianni
Imagine the probability for early stage cancer...
Imagine the probability for early stage cancer was 0.9 so that there are only two cases: early with 0.9 and advanced with 0.1. Then the probability of having at least 1 early stage of the 6 selected...
Forum:
Probability
02142019, 11:08 AM
Replies:
5
continuity correction
Views:
752
Posted By
Michael Mastroianni
It’s worth pointing out that this method requires...
It’s worth pointing out that this method requires the random variable you’re approximating a probability for to be consecutive integervalued. I don’t think exam P generally has problems where the...
Forum:
Probability
02132019, 02:14 PM
Replies:
5
continuity correction
Views:
752
Posted By
Michael Mastroianni
When you approximate with a normal using...
When you approximate with a normal using continuity correction, you approximate the CDF by adding 0.5 (minus the mean all over the standard deviation). A “strictly greater than” probability is the...
Forum:
Probability
01122019, 04:29 PM
Replies:
0
Joint Distributions Video Lesson
Views:
866
Posted By
Michael Mastroianni
Joint Distributions Video Lesson
I set this video to be freely viewable for people taking the exam in the next few days since it’s one of those topics that is quite confusing:
Joint Distributions Lesson I...
Forum:
Probability
01112019, 04:43 PM
Replies:
1
Survival Function, not integrating from 0
Views:
712
Posted By
Michael Mastroianni
It’s because you aren’t calculating the mean of X...
It’s because you aren’t calculating the mean of X with the survival function method, but instead computing the mean of another random variable using the survival function of X.
So yes your edit is...
Forum:
Probability
01072019, 10:37 AM
Replies:
6
About the independent events
Views:
972
Posted By
Michael Mastroianni
Independent events usually overlap because...
Independent events usually overlap because otherwise the intersection is empty and has probability zero so that would require one of the events to also have probability zero.
It’s defined this way...
Forum:
Probability
01062019, 04:05 PM
Replies:
1
Exam P practice exam w/ video solutions
Views:
799
Posted By
Michael Mastroianni
I've also added two new videos from the actual...
I've also added two new videos from the actual course that you can watch for free now:
8. Summary Statistics (Lesson Part I) (http://www.probabilityexam.com/233697233?autoplay=1)
9. Common...
Forum:
Probability
01062019, 03:36 PM
Replies:
1
Exam P practice exam w/ video solutions
Views:
799
Posted By
Michael Mastroianni
Exam P practice exam w/ video solutions
For those taking the exam Jan 1122:
Free practice exam with video solutions (all original problems designed by me) hosted here: www.ProbabilityExam.com (http://www.probabilityexam.com) (video...
Forum:
Probability
12052018, 08:22 AM
Replies:
2
Actex Manual Exam P Question Bank is sufficiant
Views:
1,162
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
11172018, 11:49 PM
Replies:
14
Please Any Input
Views:
2,657
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, 08:45 AM
Replies:
2
General Question Exam P
Views:
1,105
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, 04:37 PM
Replies:
6
Failed Exam P twice!!! Where to go from here?
Views:
1,927
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, 10:41 PM
Replies:
2
Number 98 on SOA 328 sample questions
Views:
1,319
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, 04:33 PM
Replies:
2
SOA # 147 E(X)= lambda? 1/lambda^1?
Views:
1,041
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, 08:55 PM
Replies:
7
Darth Vader Rule for 2nd moments & Integration Shortcuts
Views:
1,801
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, 10:05 PM
Replies:
7
Darth Vader Rule for 2nd moments & Integration Shortcuts
Views:
1,801
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, 09:03 AM
Replies:
7
Darth Vader Rule for 2nd moments & Integration Shortcuts
Views:
1,801
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, 07:50 AM
Replies:
5
Independence of x and y (joint)
Views:
1,159
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, 07:24 AM
Replies:
5
Independence of x and y (joint)
Views:
1,159
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, 09:03 PM
Replies:
3
New Video Course (free formula sheets)
Views:
3,130
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, 10:45 AM
Replies:
3
SOA Sample Question #309
Views:
1,145
Posted By
Michael Mastroianni
Perhaps this picture will help: ...
Perhaps this picture will help:
https://image.ibb.co/cW3snT/SOA309.png
Forum:
Probability
07142018, 03:44 PM
Replies:
4
SOA Sample Question #284
Views:
1,610
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, 03:54 PM
Replies:
4
Poisson Distribution
Views:
1,603
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, 08:10 AM
Replies:
3
New Video Course (free formula sheets)
Views:
3,130
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...
Showing results 1 to 25 of 33
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