Weekly Practice Exam "P" Problems courtesy of Dr Krzysztof Ostaszewski

[NoMoreExams]

I am new to Actuary. I have a basic question about Exam P.
Is the following fact true? The total number of questions of Exam P is always 140. And the time needed to finish the test is 3 hours.

Right?

Thank you!

Incorrect. Have you been to beanactuary.org. This should probably be asked in a different thread as it has nothing to do with Dr. O's questions.

[krzysio]

Please find it at:
[url]http://www.math.ilstu.edu/krzysio/6-13-9-KO-Exercise.pdf[/url]
Yours,
Krzys' Ostaszewski

[Irish Blues]

If there's a question about the price of a study manual, find an existing thread that talks about it or start a new thread. This thread is solely for practice problems on Exam P. If anyone has a question for Dr. O regarding his study manuals, you can [and should] contact him via e-mail.

All posters are expected to show a modicum of respect to other posters here; if you don't like what someone else has to say, ignore them. Telling others to "shut up" is not acceptable here. [Put another way: if you walked into the office of your manager and told him/her to "shut up", it's a safe bet you'd either be packing your stuff up within 24 hours or you'd come in and it would be boxed up for you with a note saying, "you're fired - get out now." You're expected to act like a professional in the actuarial world; this is a good place to practice that behavior.]

All posts referring to the price of Dr. O's study manual in whatever form will be deleted from this thread later this week.

[krzysio]

Please find it at:
[url]http://www.math.ilstu.edu/krzysio/6-20-9-KO-Exercise.pdf[/url]
Yours,
Krzys' Ostaszewski

[krzysio]

Please find it at:
[url]http://www.math.ilstu.edu/krzysio/6-27-9-KO-Exercise.pdf[/url]
Yours,
Krzys' Ostaszewski

[Skapoor]

During the fall, ducks congregate in local pond. After a random amount of time –
observed to be uniformly distributed over two hours – the ducks take flight and migrate south.

If the ducks arrive at the pond according to a Poisson process with a rate of five ducks per hour what is

i. the expected migration flock size?
ii. the variance of the migration flock size?

[NoMoreExams]

Why not start your own thread instead of posting in a thread that has a very obvious title and purpose.

[krzysio]

Please find it at:
[url]http://www.math.ilstu.edu/krzysio/7-4-9-KO-Exercise.pdf[/url]
Yours,
Krzys' Ostaszewski

[dliving]

During the fall, ducks congregate in local pond. After a random amount of time –
observed to be uniformly distributed over two hours – the ducks take flight and migrate south.

If the ducks arrive at the pond according to a Poisson process with a rate of five ducks per hour what is

i. the expected migration flock size?
ii. the variance of the migration flock size?

I'm not really a question answerer, but I did study from ASM last night. (like holiday inn express, get it? I'm just too funny) :laugh:

i. W=flock size, X=time until departure, Y=rate , W=XY
E[W]=E[X]E[Y]=[1][5]=5 assuming independence
ii. this one is not intuitve, but I'll try

VAR[W]=Var[XY]=Var[X]E[Y] + E[X]Var[Y]=[1/3][5]+[1][5]=20/3
the units for Var[W] is ducks squared. lol WTF is a duck squared? So we need to make sure both things we are adding are in duck^2 to make the equation hold. Both X and Y are in ducks so we are ok. Sometimes you have to use E^2 on one side of the + to get your unit right.

[NoMoreExams]

Didn't really read your solution but something that jumped out at me, I don't think W = XY, did you mean W = X_1 + X_2 + ... + X_Y?