In general, how does one separate the product of two probability distributions with one of them known? Basically, I have the distribution of rcosθ, I know that P(cosθ) = 2/(πsinθ), and I want to find P(r). Wolfram Alpha makes me think that a delta function is involved based on what they say about uniform product distributions and normal product distributions, but I wouldn't know how to solve it in this case.(adsbygoogle = window.adsbygoogle || []).push({});

Here are the URLs to Wolfram Alpha's things. I can't include links until I make 10 posts apparently.

mathworld.wolfram.com/UniformProductDistribution.html

mathworld.wolfram.com/NormalProductDistribution.html

Thanks for any help or suggestions!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Separating the product of two probability distributions

**Physics Forums | Science Articles, Homework Help, Discussion**