Question: What is the marginal PMF, in terms of k, when k is an even number?

To find the marginal probability mass function (PMF) when k is an even number, we need to know the joint PMF. The marginal PMF represents the probability distribution of a single random variable from a joint distribution.

If we have the joint PMF, we can calculate the marginal PMF by summing up the probabilities for each even value of k. However, without knowing the joint PMF or any other specific information, it is not possible to provide an exact answer.

To determine the marginal PMF for a specific scenario, we would need more information, such as the joint PMF table or the probability distribution of k. With the joint PMF or other relevant information, we could then calculate the marginal PMF for k when it is an even number by summing up the probabilities for the corresponding values of k.

Therefore, in the absence of specific information, we cannot provide a detailed answer for the marginal PMF in terms of k when k is an even number.