| Exam Board | Edexcel |
|---|---|
| Module | S2 (Statistics 2) |
| Year | 2004 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Continuous Uniform Random Variables |
| Type | State or write down basic properties |
| Difficulty | Easy -1.3 This is a straightforward application of standard uniform distribution formulas with no problem-solving required. Students simply need to recall that P(X<a) = (a-lower)/(upper-lower), E(X) = (a+b)/2, and Var(X) = (b-a)²/12, then substitute the given values [-1, 4]. This is easier than average as it tests only direct formula recall with simple arithmetic. |
| Spec | 5.03b Solve problems: using pdf |
The continuous random variable $X$ is uniformly distributed over the interval $[-1, 4]$.
Find
\begin{enumerate}[label=(\alph*)]
\item P$(X < 2.7)$, [1]
\item E$(X)$, [2]
\item Var $(X)$. [2]
\end{enumerate}
\hfill \mbox{\textit{Edexcel S2 2004 Q2 [5]}}