Consider the following card game with a wel -shu'led deck of cards. If you draw a red card, you win nothing. If you get a spade, you win $6. For any club, you win $12 plus an extra $20 for the ace of clubs. (a) Create a probability model for the amount you win at this game. (Round your answers to two decimal places.) Event. 2! P00 X ' P300 Red |0 N l-50 Iv IO iv Spade l6 lJ |.25 l" l1.5 l" Club |12 l; |.23 | |2_77 l', Ace of clubs I32 l |.02 I; I62 lv Also, nd the expected winnings for a single game and the standard deviation of the winnings. (Round your answers to two decimal places.) expected winnings ,/ standard deviation J (b) What is the maximum amount you would be willing to pay to play this game? Explain your reasoning. If the goal of the game is making money, the maximum amount you should be willing to pay for this game is $ J