Q1) Suppose the joint pmf is given by the insurance company in the accompanying joint probability table: P(X,Y) X 1 2 1) Find Px (X,Y)? 2) Find Py (X, Y)? 3) Cov(X,Y)? Y 5 10 15 0.15 0.15 0.25 0.10 0.30 0.05 4) Prove the Axioms of probability for P(X,Y) Axiom 1: P(X,Y)20 for each x and y. Axiom 2: P(X,Y)=1 for each x and y.

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