Let XXX be a discrete RV with support {1,2,3,…}\{1, 2, 3, \ldots\}{1,2,3,…} and PMF P(X=k)∝k−2P(X=k) \propto k^{-2}P(X=k)∝k−2. What is P(X=1)P(X=1)P(X=1)?
6π2\frac{6}{\pi^2}π26
12\frac{1}{2}21
16\frac{1}{6}61
π26\frac{\pi^2}{6}6π2