When we defined jointly independent random variables, we said that it is important to verify **all** the inequalities. The example below shows that having just the "product rule" does not suffice.

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Answer:

Though the example is not shown but the variables may independent. This can be put in other way that "if the two variables are correlated, then they are not independent" that is, they may be correlated and not independent

Step-by-step explanation:

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