Marginal Distribution - have solved the first part

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'", 11 1,2,.... Once we see the numerical value of N, we then draw a random variable K whose (conditional) PMF is uniform on the set {1, 2, , 2n}. Write down an expression for the joint PMF PN.K (n, k). For n = 1, 2, ... and k = 1, 2, ... , 2n: PN,K (n, k) = 24(-(n+2) ) 2 -(n+2)Find the marginal PMFpK (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). 1 for0