Let X and Z be binary random variables with P(X = 1) = p and P(Z = 1) = p. Under which conditions can the distribution of Z + X be (easily) computed, and what are the distribution results? Give mean and variance of X + Z.

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I did not understand how to approach this problem that is why i posted it straightforward with working it out , It would be really helpful if someone help me with the initial idea .