You and a friend play a game where you each toss a balanced coln, If the upper faces on the coins are both tails, you win s5; it the faces are both heards, you wia sa: if the coins do not match (one shows a head, the other a tail), you losa st (win $(-34)\}$. Calculate the mean and variance of $y$, your winnings on a single play of the game. Note that $E^{\eta)>0$. $E(leta)=5$ $v(Y)$ How much stiould you pay to play this game if your ner wimnings, the difference between the payolf ant cost of playno, are to have mean a? SP.PC. 123