Question: Random variables N and K have the joint PMF (a) Find the marginal PMF PN(n) and the conditional PMF PK|N( k|n). (b) Find the conditional

Random variables N and K have the joint PMF

(a) Find the marginal PMF PN(n) and the conditional PMF PK|N( k|n).
(b) Find the conditional expected value E[K|N = n.
(c) Express the random variable E[K|N] as a function of N and use the iterated expectation to find E[K].

ne-100 n=0,1, .. ) (O (n+ 1)! N ,K (n, k = = 0 otherwise

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