Question: Find the expected value (mean) and the variance for the following distribution. (2) At Quark's casino, there is a game called High Five, where you

Find the expected value (mean) and the variance for the

following distribution.

(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) LetXbe the amount of money you WIN by playing this game. Fill in the details in the table below.

Probability Distribution forX

X P(X=x)

? ?

(b) Calculate E(X), the expected amount of money you win by playing this game.

(d) Calculate Var(X).

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