| Exam Board | Edexcel |
|---|---|
| Module | S2 (Statistics 2) |
| Session | Specimen |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Topic | Continuous Uniform Random Variables |
| Type | Geometric applications |
| Difficulty | Standard +0.3 This requires understanding that if one side is X, the other is (10-X), then identifying when max(X, 10-X) > 6. This translates to finding P(X < 4 or X > 6) = P(1 < X < 4) + P(6 < X < 7) for a uniform distribution. While it requires geometric insight about rectangles and careful case analysis, the probability calculation itself is straightforward once the setup is clear. Slightly above average due to the conceptual translation required. |
| Spec | 5.03a Continuous random variables: pdf and cdf |
\begin{enumerate}
\item A rectangle has a perimeter of 20 cm . The length, $X \mathrm {~cm}$, of one side of this rectangle is uniformly distributed between 1 cm and 7 cm .
\end{enumerate}
Find the probability that the length of the longer side of the rectangle is more than 6 cm long.\\
\hfill \mbox{\textit{Edexcel S2 Q3 [5]}}