Originally Posted by
mr fantastic is correct ...... But the pdf and hence integral is up in the air I think ....
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)
and as this is at , we have that for and zero otherwise is a density, but the of the original post is not (it integrates up to )
RonL
(note Maxima unlike Mathematica is freeware - and does not just produce plain ASCII output as above either)