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1 Let X denote the winnings of the $30 Black Titanium scratchofflottery card, and let Y = X - 30 denote the net winnings. 2 You are to complete the two tables and three questions below. Odds information can be found here: https:/ylottery.ny.gov/scratch-off-game?game=1406 4 5 (3 points) (6 points) 6 Prizes (x) Probabilities (P(X=x)) x*P(X=x) x^2 *P(X=x) X ="winnings" Y = "net winnings" 10,000,000.00 E(X) E(Y) 8 100,000.00 9 5,000.00 Var(X) Var(Y) 10 2,000.00 11 600.00 SD(X) SD(Y) 12 500.00 13 400.00 14 200.00 15 150.00 16 100.00 17 75.00 18 60.00 19 50.00 20 0.00 21 22 1. (1 point) Is it mathematically wise to play this game? Why or why not? 23 24