I'm doing some homework over the break (!) so I don't have access to my usual lines of help. I've hit a wall:

I don't really know how to solve a problem like this, from the replies to the previous thread I know I have no idea of the concepts being discussed here.

Also:

I get the mean correctly, but the standard deviation does not come out correctly, it integrates to sqrt(2) / 12. Its supposed to be a normal distribution, with mean of 0 and standard deviation of 1, but damned if I know how to integrate the standard deviation correctly:

(this is correct, the notation is standard for the TI-89)

mu = mean = integral( w * sqrt(18) * (w-(2/3)),w,0,1 ) = 0