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...

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.