Roll two balanced tetraherda. Let X be the number on the down-turned face of the first tetrahedron and Y be the maximum

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answerhappygod
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Roll two balanced tetraherda. Let X be the number on the down-turned face of the first tetrahedron and Y be the maximum

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Roll two balanced tetraherda. Let X be the number on the down-turned face of the first tetrahedron and Y be the maximum of the two.
1. Find the joint probability mass function
2. Find the marginal probability mass functions.
3. Find the conditional mass function of Y given X=x
4. find the expected values, variances and covariance.
please clearly inducate each part
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