Assign a value of 1 point to an Ace, 11 points to Jack, 12 to a Queen, and 13 for a King. The numbered cards (2-10) are assigned the value shown on the card.

Draw 2 cards with replacement.

Let X be the value of the first card, and let Y be the value of the second card. What is E(X+Y)? StdDev(X+Y)?

Is it E(X+Y) = E(X) + E(Y) = 14?

E[(X+Y)^2] = ??

Also, is the distribution of X, P(X=x ) = 4/52?

Thanks !