Question: Suppose X and Y are binary random variables, each taking the values 0 and 1. If we know that the event X = x

Suppose X and Y are binary random variables, each taking the values

Suppose X and Y are binary random variables, each taking the values 0 and 1. If we know that the event X = x is independent of the event Y= y, i.e x 1 y, does it mean that XLY? Give mathematical justifications for your answer. What about the case when X and Y are non-binary random variables that take more than two values each? [6 Marks]

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