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Consider the following random variables on (, F ) = ({1, 2, 3, 4, 5, 6}, 2 ): X()=max(,5), Y()=|7/2|, . 1. Write down (X)
Consider the following random variables on (, F ) = ({1, 2, 3, 4, 5, 6}, 2 ): X()=max(,5), Y()=|7/2|, .
1. Write down (X) and (Y ).
2. Is Y measurable with respect to (X)? What about X with respect to (Y )?
3. Are X and Y independent?
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