(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

D = (L + E) / S

Where L, E, and S are mutually independent random variables that are each normally distributed.

I need to find (symbolically), the conditional PDF f(d|s).

2. Relevant equations

3. The attempt at a solution

Not sure what to do with so many variables... I'm guessing that I can treat "s" as a constant since it's "given" for the conditional PDF. I also know that adding L + E will result in a normally distributed random variable. So D is also a random variable, right?

I tried to use Bayes' Rule and also the definition of conditional probability - didn't help.

I would be willing to bet that I need to integrate something...

THANK YOU for any guidance you can provide!

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# Conditional PDF with multiple random variables

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