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10 questions from this quiz
000
f(x)≥0f(x) \geq 0f(x)≥0 and ∫f(x) dx=1\int f(x)\,dx = 1∫f(x)dx=1
∫abf(x) dx\int_{a}^{b} f(x)\,dx∫abf(x)dx
∫−∞Mf(x) dx=12\int_{-\infty}^{M} f(x)\,dx = \frac{1}{2}∫−∞Mf(x)dx=21
Solve df(x)dx=0\frac{df(x)}{dx} = 0dxdf(x)=0
E(X)=∫xf(x) dxE(X) = \int xf(x)\,dxE(X)=∫xf(x)dx
Var(X)=E(X2)−[E(X)]2\text{Var}(X) = E(X^2) - [E(X)]^2Var(X)=E(X2)−[E(X)]2
E(Y)=3E(X)+5E(Y) = 3E(X) + 5E(Y)=3E(X)+5
Var(Y)=16Var(X)\text{Var}(Y) = 16\text{Var}(X)Var(Y)=16Var(X)
Var(X)+Var(Y)\text{Var}(X) + \text{Var}(Y)Var(X)+Var(Y)
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