Given

For all problems on this page, use the following setup: Let N be a positive integer random variable with PMF of the form 1 pN{n)=E-n-2'\Marginal Distribution 1.5 points possible (graded, results hidden} Find the marginal PMF pg (k) as a function of Is. 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}. 1 11" for0