Recent content by bjj_99

Ah, figured it out. I was looking for a nice solution when the raw form would suffice... just divide the series above by itself. So the probability density function would be: \frac{1}{\sum_{k=1}^{\infty} k^{-(r+2)}} \sum_{k=1}^{\infty} k^{-(r+2)} = \sum_{k=1}^{\infty}...

Homework Statement From Hoel, Port, & Stone, Chapter 4, Exercise 9: Construct an example of a density that has a finite moment of order r but has no higher finite moment. Hint: Consider the series \sum_{k=1}^{\infty} k^{-(r+2)} and make this into a density. Btw, this is for my own...

EDIT: Funny... I didn't know how to do this question when I first started this post, but the answer came to me while I was parsing all the tex eqns below. 3. The attempt at a solution Since the wheel is rolling at a steady velocity V, we can consider the inertial frame with origin at...

Ah ha! Right. The derivative of F(0) (F being the antiderivative of the integrand) is 0 and not F'(0). Thanks snipez, I thought I was going crazy there. Yep, I was treating it as a constant (under the integral). I did at first try to use the fundamental thm with the original function...

Another GRE Math question Hi, new to the forums and haven't seen this question posted yet... Here's a GRE math subject test question from the sample ETS exam (Form GR0568). I'm having trouble and wondering if I'm missing something obvious. 24. Let h be the function defined by h(x) =...