| Exam Board | Edexcel |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2001 |
| Session | January |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Normal Distribution |
| Type | Validity of normal model |
| Difficulty | Easy -1.2 Part (a) is a routine normal distribution calculation requiring standardization and table lookup. Parts (b) and (c) test conceptual understanding of modelling but require only basic written explanations about symmetry, bell-shaped distributions, and the utility of models—no mathematical problem-solving. This is easier than average A-level content. |
| Spec | 2.04e Normal distribution: as model N(mu, sigma^2)2.04f Find normal probabilities: Z transformation |
2. The random variable $X$ is normally distributed with mean 177.0 and standard deviation 6.4.
\begin{enumerate}[label=(\alph*)]
\item Find $\mathrm { P } ( 166 < X < 185 )$.
It is suggested that $X$ might be a suitable random variable to model the height, in cm , of adult males.
\item Give two reasons why this is a sensible suggestion.
\item Explain briefly why mathematical models can help to improve our understanding of real-world problems.
\end{enumerate}
\hfill \mbox{\textit{Edexcel S1 2001 Q2 [8]}}