a) Construct a table that gives the joint probability mass function for X and Y. (Note:...

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a) Construct a table that gives the joint probability mass function for X and Y. (Note: "X is the larger value and Y is the smaller value in a two dice roll" means that for any two dice roll, X will be greater than or equal to Y). b) What is P(X≥3,Y=1)? c) What is P(X2Y+2)? d) Are X and Y independent? Explain. a) Construct a table that gives the joint probability mass function for X and Y. (Note: "X is the larger value and Y is the smaller value in a two dice roll" means that for any two dice roll, X will be greater than or equal to Y). b) What is P(X≥3,Y=1)? c) What is P(X2Y+2)? d) Are X and Y independent? Explain.