A discrete random variable has P(X=k)=12k+1P(X=k) = \frac{1}{2^{k+1}}P(X=k)=2k+11 for k=0,1,2,…k=0, 1, 2, \dotsk=0,1,2,…. What is the expected value E[X]E[X]E[X]?
0.5
1
2
0.75