Point 1 is a limitation in SymPy (not currently implemented). I would have 
set it as a milestone for version 1.0, but the community has already 
decided to get version 1.0.

There are some known problems with the stats module. One that I know of, 
sometimes the arguments of the integration set are passed in the wrong way 
to the integral function.

Unfortunately being SymPy an open source project it relies on people 
volunteering to add code to it, so fixing bugs has to wait until someone 
has time to do it.

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