May 2011 Progress Thread - Page 44

gugugug · #**431** 01-23-2011, 12:35 PM

ASM 6.17

I can't figure out where they get their tPx in the solutions.....mu is 1/(200-x) + 1/(100-x) so why in the solution is tPx = ((200-t)(100-t))/20,000 ? Does it make sense to multiply the two equations like that as if they are independent?

any help would be greatly appreciated.

RDslippers · #**432** 01-23-2011, 01:32 PM

Quote:

Originally Posted by gugugug

ASM 6.17

I can't figure out where they get their tPx in the solutions.....mu is 1/(200-x) + 1/(100-x) so why in the solution is tPx = ((200-t)(100-t))/20,000 ? Does it make sense to multiply the two equations like that as if they are independent?

any help would be greatly appreciated.

Try (but I just noticed all my subscripts in the integrals need to be changed to something like w,z,etc. but you get the idea):

$_tp_x = e^{-\int_x^{x+t} \mu_x dx} = e^{-\int_x^{x+t} \frac{1}{200-x} + \frac{1}{100-x} dx}$

Which equals,

$e^{-\int_x^{x+t} \frac{1}{200-x} dx} e^{-\int_x^{x+t} \frac{1}{100-x} dx}$

Then, by deMoivre,

$\frac{200-x-t}{200-x}\)\(\frac{100-x-t}{100-x}$

But, $x=0$ , thus,

$\frac{(200-t)(100-t)}{200(100)}$

The rest follows as the solution suggests. The tricky part, I believe, is realizing you only integrate this to $100$ .

kdiz · #**433** 01-23-2011, 01:54 PM

Finished all 5 of the B.2 lectures for TIA. Moving onto the problem set now.

smwentum · #**434** 01-23-2011, 02:06 PM

finished 10,

going to try to finish 11 today

les_009 · #**435** 01-23-2011, 03:21 PM

Still stuck with B 1.5 TIA.....I have to say being online in Actuarial Outpost is a distraction....

gugugug · #**436** 01-23-2011, 03:26 PM

I know there have been previous statements made about how chapter 10/B.2.1 is "fun", but right now I am super overwhelmed by the amount of notation....way more so than chapter 8/B.1.4

How long does it take you guys to get used to all the A bars and n E x 's?

gugugug · #**437** 01-23-2011, 03:26 PM

is anyone going to try to study during the playoffs?

smwentum · #**438** 01-23-2011, 06:50 PM

Quote:

Originally Posted by les_009

Still stuck with B 1.5 TIA.....I have to say being online in Actuarial Outpost is a distraction....

lol

smwentum · #**439** 01-23-2011, 06:51 PM

Quote:

Originally Posted by gugugug

I know there have been previous statements made about how chapter 10/B.2.1 is "fun", but right now I am super overwhelmed by the amount of notation....way more so than chapter 8/B.1.4

How long does it take you guys to get used to all the A bars and n E x 's?

i just learned that before i did the rest of the stuff, it makes things A Lot easier.

ker8 · #**440** 01-23-2011, 08:15 PM

i am not liking this material so far....i "got through" lesson 6, but i still don't know what the symbols mean hardly nor when to use what equation. I'm starting the problems in section 7 but it doesn't seem to be any better....i think i'm going to need to make a flow chart to see how everything connects to each other. I'm seriously envious right now of anyone who studied this in school....

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