Marginal Distribution
1.5 points possible (graded, results hidden)
Find the marginal PMF pK(k) as a function of k. For simplicity, provide the answer only for the case when k is an even number. (The formula for when k is odd would be slightly different, and you do not need to provide it).
Hint: You may find the following helpful: ∑i=0∞ri=11−r for 0<r<1.
For k=2,4,6,…:
pK(k)=