(a)[1]
Show that the value of $c$ is $\frac{2}{3}$.
(b)[2]
Find the value of $\mathrm{P}(X > 2)$.
(c)[4]
Calculate the value of $\text{E}(X)$.
Mathematics 9709 · AS & A Level · Continuous random variables
Continuous random variables — practice question
A random variable $X$ can take only values from 0 to 3, and its probability density function is shown in the diagram, with $c$ as a constant.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Using the correct area expression $\frac{1}{2}\times 3\times c = 1$ leads to $c=\frac{2}{3}$” …
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