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Determine if the given statements are true or false. Please show me all vann diagram and necessary steps. 7. For any two discrete random variables

Determine if the given statements are true or false. Please show me all vann diagram and necessary steps.

7. For any two discrete random variables X and Y, we have P(X = a and Y = b) = P(X = a) P( Y = b). True False 8. The cumulative distribution function (CDF) F(x) is always non-decreasing. True False

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