Originally Posted by

**mkvbd** Hi,

This is my first post ever in any mathematics forum so forgive me if it is... strange or something. Also, I am not a fan of seeking assistance for assignments so I have been deliberately vague about the problem. Anyway, here it goes.

I have an assignment problem that provides the equation for a continuous random variable, Y, defined by two parameters say $\displaystyle (r,\theta)$ where $\displaystyle \theta$ itself is uniformly distributed over the range (a,b). In part (1) I am required to find the probability density function for R. Part (2) requires me to sketch the pdf of Y over a suitable range for a given value of r.

My reading of the question leads me, in part (1), to integrate Y*(1/b-a) for $\displaystyle \theta $ over the range of $\displaystyle \theta $. Is this correct or am I way off base? The problem is that if i find f(y) this way I end up with a function without $\displaystyle \theta $ and then, if i put in the given value of r in part (2) I end up with a solution single solution to the equation not a graph over over the range. Have I missed the boat here?