has a beta distribution with p.d.f:
First I had to find so I integrated for the interval and set it equal to which gave . Correct?
But how do I find the mode? I can see from looking at the graph that it is , but how do I find it mathematically?
Yeah I thought of that before, but when I set it to zero:
I could only see the roots 0 and 1.
I can see on wolfrom the (wonderful) alternate form:
where I can see the root I'm looking for, 0.4.
I've crudely expanded it but the closest I can get to the other form is:
I can see that I'm almost there... can somebody show me the final step?
Surely there is a more civilized way of doing this? I remember being able to do this stuff 3 years ago, but that was 3 three years ago.