| Exam Board | Edexcel |
|---|---|
| Module | S1 (Statistics 1) |
| Paper | Download PDF ↗ |
| Topic | Normal Distribution |
| Type | Validity of normal model |
| Difficulty | Moderate -0.8 Part (a) is a routine normal distribution calculation requiring standardization and table lookup. Parts (b) and (c) test basic understanding of statistical modeling through straightforward written responses requiring recall of standard justifications rather than 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 $\mathrm { P } ( 166 < X < 185 )$.\\
(4 marks)\\
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.\\
(2 marks)
\item Explain briefly why mathematical models can help to improve our understanding of real-world problems.\\
(2 marks)
\end{enumerate}
\hfill \mbox{\textit{Edexcel S1 Q2}}