Continuous Distributions 1 (AQA A-Level Further Maths): Quizzes

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$f(x) \geq 0$ and $\int f(x)\,dx = 1$

$\int_{a}^{b} f(x)\,dx$

$\int_{-\infty}^{M} f(x)\,dx = \frac{1}{2}$

Solve $\frac{df(x)}{dx} = 0$

$E(X) = \int xf(x)\,dx$

$\text{Var}(X) = E(X^2) - [E(X)]^2$

$E(Y) = 3E(X) + 5$

$\text{Var}(Y) = 16\text{Var}(X)$

$\text{Var}(X) + \text{Var}(Y)$