隨機變數的概念與計算

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練習題:假如 X 代表丟銅板的隨機變數:X(正) = 2, X(反) = 1,Y 代表丟銅板的隨機變數:Y(正) = 1, Y(反) = 2 請回答下列問題?

1. 請問 P(X=2) = P(X(正)) = 0.5
2. 請問 P(3X=3) = P(X(反)) = 0.5
3. 請問 P(3Y=3) = P(Y(正)) = 0.5
4. 請問 P(X+Y=3) =

X(正)+Y(正) = 2 + 1 = 3 或 X(反)+Y(反) = 1 + 2 = 3
P(正,反) = 1

5. 請問 P(X+2Y=5) = X(反)+Y(反) = 1 + 2*2 = 5
P(反) = 0.5

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