(Solution) - The MSU football team has 10 games scheduled -(2025 Original AI-Free Solution)

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The MSU football team has 10 games scheduled for next season. The business manager wishes to estimate how much money the team can be expected to have left over after paying the season's expenses, including any postseason "bowl game" expenses. From records for the past season and estimates by informed people, the business manager has assembled the following data:
Prob
Situation ability Situation Net Income
Regular season Regular season
Win 3 games 0.10 Win 5 or $250,000
Win 4 games 0.15 fewer
Win 5 games 0.20 games
Win 6 games 0.15 Win6 to 8 400,000
Win 7 games 0.15 games
Win 8 games 0.10
Win 9 games 0.07 Win 9 or 10 600,000
Win 10 games 0.03 games
Postseason Postseason Additional Additional
Bowl game 0.10 Bowl game income of $100,000
Based on the business manager's data, what is the expected net income for the team next season?