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SIE_tp
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Homework Statement
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).
Homework Equations
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!