Question: This is a problem from a probability course: In brief, answer to the two problems with explanations(proof): 2. Let X, Y, Z be discrete random

This is a problem from a probability course:

In brief, answer to the two problems with explanations(proof):

2. Let X, Y, Z be discrete random variables such that X + Y has same distribution as X + Z. Can we say that Z and Y have same distribution? What if X, Y and Z are independent

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