Question: Suppose that two fair dice are tossed one time. Let X denote the number of 2s that appear, and Y the number of 3s. Write

Suppose that two fair dice are tossed one time. Let X denote the number of 2’s that appear, and Y the number of 3’s. Write the matrix giving the joint probability density function for X and Y. Suppose a third random variable, Z, is defined, where Z = X +Y. Use p X,Y (x, y) to find pZ (z).

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