Question

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以下是心統的題幹和問題
想請問這題要如何計算？
謝謝！

3. David challenge you to play coin toss game. If you win, he will give you $10. If he wins, you will give
him $5. He tells you the coin is fair. 大衛找你玩丟銅板遊戲,如果你赢一次可以拿到 10 元,如果
他贏一次要給他5元。他說銅板沒有動手腳。

b. If you play 25 games with David, what's the average probability of winning? Please construct a
95% confidence interval of your winning probability. Note: what I ask is the probability, not how
many times you win. 如果你跟大衛玩 25 次,平均而言你贏的機率是多少?並建構 95%的信
賴區間。請注意此題問的是機率,而非贏的次數。(10%)