Let XXX be a random variable with P(X=n)=6π2n2P(X = n) = \frac{6}{\pi^2 n^2}P(X=n)=π2n26 for n=1,2,3,…n = 1, 2, 3, \ldotsn=1,2,3,…. What is E[X]E[X]E[X]?
∞\infty∞
π2\frac{\pi}{2}2π
π\piπ
1