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A game of chance offers the following odds and payoffs. Each play of the game costs $125, so the net profit per play is the

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A game of chance offers the following odds and payoffs. Each play of the game costs $125, so the net profit per play is the payoff less $125. Probability .20 .40 .40 Payoff $500 200 0 Net Profit $375 75 -125 a-1. What is the expected cash payoff? (Do not round intermediate calculations. Round your answer to the nearest whole dollar amount.) Expected cash payoff 180 a-2. What is the expected rate of return? (Enter your answer as a percent rounded to the nearest whole number.) Expected rate of return 55 % b-1. What is the variance of the expected returns? (In the calculation, use the percentage values, not the decimal values for the rates of return. Do not round intermediate calculations. Round your answer to the nearest whole number.) Variance b-2. What is the standard deviation of the expected returns? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Standard deviation %

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