Let X, Y, Z, be independent discrete random variables.

Question

Let A= X(Y+Z) and B= XY

With A, B, X, defined as before, determine wheter the folllowing statements are true or false.

1. A and B are independent

2. A and B are conditionally independent, given X = 0.

3. A and B are conditionally independent, given X = 1.

Answer 1

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