Roll a dice, X=the number obtained. Calculate E(X), Var(X). Use two expressions to calculate variance. Two fair dice are tossed, and the face on each die is observed. Y=sum of the numbers obtained in 2 rolls of a dice. Calculate E(Y), Var(Y). Roll the dice 3 times, Z=sum of the numbers obtained in 3 rolls of a dice. Calculate E(Z), Var(Z) from the result of part a and b.

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  1. Roll a dice, X=the number obtained. Calculate E(X), Var(X). Use two expressions to calculate

    variance.

  2. Two fair dice are tossed, and the face on each die is observed. Y=sum of the numbers

    obtained in 2 rolls of a dice. Calculate E(Y), Var(Y).

  3. Roll the dice 3 times, Z=sum of the numbers obtained in 3 rolls of a dice. Calculate E(Z),

    Var(Z) from the result of part a and b.

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