(2) At Quark's casino, there is a game called "High Five", where you paid $1 to roll a fair die once. If a 5 shows up, you get back $5, nothing otherwise.   (a) Let X be the amount of money you WIN by playing this game. Fill in the details in the table below. Probability Distribution for  x P(X=x)           (b) Calculate E(X), the expected amount of money you win by playing this game.   (c) Is the outcome of this game favorable to you or to Quark's casino?   (d) Calculate Var(X).

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