find the cumulative distribution function for

so far I get

but the given solution is:

where those the come from?

Printable View

- Apr 12th 2008, 10:04 PMlllllsingle varibale cummulative dist. func.

find the cumulative distribution function for

so far I get

but the given solution is:

where those the come from? - Apr 12th 2008, 10:32 PMmr fantastic
- Apr 12th 2008, 11:19 PMlllll
those are typos and I didn't copy it accordingly, what's shown for the cdf is:

but after integrating out you get:

so either I'm missing something or there is in fact an error in the solution... - Apr 13th 2008, 12:11 AMCaptainBlack
- Apr 13th 2008, 12:19 AMmr fantastic
- Apr 13th 2008, 02:03 AMCaptainBlack
Well I don't see any reason for us to worry about the algebra so I let Maxima do the work:

Code:`(%i5) integrate((3/4)*(1-z^2), z, -1, x);`

(%o5) (3*(2/3-(x^3-3*x)/3))/4

(%i6) radcan(%);

(%o6) -(x^3-3*x-2)/4

(%i7)

RonL

(note Maxima unlike Mathematica is freeware - and does not just produce plain ASCII output as above either) - Apr 13th 2008, 05:13 AMmr fantastic