For each of the following bivariate distributions, determine whether the corresponding random variables x and Y are i.) independent and ii.) uncorrelated:
a.) f(x,y)=1/4,(x,y)in{(0,0),(1,1),(1,-1),(2,0)}
b.) f(x,y)=e⁻ˣ⁻ʸ,0≤x≤[infinity],0≤y≤[infinity]
c.) f(x,y)=8xy,0≤x≤y≤1