The random variable V takes values in the set {0,1} and the random variable W takes values in the set {0,1,2}. Their joint PMF is of the form

pV,W(v,w)=c⋅(v+w),


where c is some constant, for v and w in their respective ranges, and is zero everywhere else.

a) Find the value of c.

c=?

b) Find pV(1).=?