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Search: Posts Made By: Michael Mastroianni
Forum: Probability 02-22-2019, 12:10 PM
Replies: 0
Views: 806
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 02-15-2019, 10:36 AM
Replies: 3
Views: 642
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 02-14-2019, 11:08 AM
Replies: 5
Views: 752
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 integer-valued. I don’t think exam P generally has problems where the...
Forum: Probability 02-13-2019, 02:14 PM
Replies: 5
Views: 752
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 01-12-2019, 04:29 PM
Replies: 0
Views: 866
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 01-11-2019, 04:43 PM
Replies: 1
Views: 712
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 01-07-2019, 10:37 AM
Replies: 6
Views: 972
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 01-06-2019, 04:05 PM
Replies: 1
Views: 799
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 01-06-2019, 03:36 PM
Replies: 1
Views: 799
Exam P practice exam w/ video solutions

For those taking the exam Jan 11-22:


Free practice exam with video solutions (all original problems designed by me) hosted here: www.ProbabilityExam.com (http://www.probabilityexam.com) (video...
Forum: Probability 12-05-2018, 08:22 AM
Replies: 2
Views: 1,162
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 11-17-2018, 11:49 PM
Replies: 14
Views: 2,657
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, 08:45 AM
Replies: 2
Views: 1,105
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, 04:37 PM
Replies: 6
Views: 1,927
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, 10:41 PM
Replies: 2
Views: 1,319
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, 04:33 PM
Replies: 2
Views: 1,041
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, 08:55 PM
Replies: 7
Views: 1,801
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, 10:05 PM
Replies: 7
Views: 1,801
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, 09:03 AM
Replies: 7
Views: 1,801
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, 07:50 AM
Replies: 5
Views: 1,159
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, 07:24 AM
Replies: 5
Views: 1,159
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, 09:03 PM
Replies: 3
Views: 3,130
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, 10:45 AM
Replies: 3
Views: 1,145
Perhaps this picture will help: ...

Perhaps this picture will help:
https://image.ibb.co/cW3snT/SOA309.png
Forum: Probability 07-14-2018, 03:44 PM
Replies: 4
Views: 1,610
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, 03:54 PM
Replies: 4
Views: 1,603
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, 08:10 AM
Replies: 3
Views: 3,130
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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