If XXX is a discrete random variable where P(X=k)=c(k+1)P(X=k) = c(k+1)P(X=k)=c(k+1) for k∈{0,1,2}k \in \{0, 1, 2\}k∈{0,1,2}, find ccc.
13\frac{1}{3}31
16\frac{1}{6}61
14\frac{1}{4}41
111