| Exam Board | Edexcel |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2005 |
| Session | January |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Uniform Distribution |
| Type | Modelling assumptions and refinements |
| Difficulty | Easy -1.2 This is a straightforward S1 question testing basic understanding of discrete uniform distribution through recall and simple commentary. Parts (a) and (b) require only naming and giving an example (e.g., die roll), while (c) and (d) ask for brief discussion of assumptions—no calculations, proof, or problem-solving involved. Well below average difficulty for A-level. |
| Spec | 2.04a Discrete probability distributions5.02e Discrete uniform distribution |
| Answer | Marks |
|---|---|
| (Discrete) Uniform | B1 |
| Answer | Marks |
|---|---|
| e.g. Tossing a fair dice / coin | B1 |
| Answer | Marks |
|---|---|
| Useful in theory – allows problems to be modelled | B1 |
| not necessarily true in practice | B1 |
| Answer | Marks |
|---|---|
| Carry out an experiment | B1 |
| to establish probabilities | B1 |
## Question 6:
**Part (a):**
(Discrete) Uniform | B1 |
**Part (b):**
e.g. Tossing a fair dice / coin | B1 |
**Part (c):**
Useful in theory – allows problems to be modelled | B1 |
not necessarily true in practice | B1 |
**Part (d):**
Carry out an experiment | B1 |
to establish probabilities | B1 |
---6. A discrete random variable is such that each of its values is assumed to be equally likely.
\begin{enumerate}[label=(\alph*)]
\item Write down the name of the distribution that could be used to model this random variable.
\item Give an example of such a distribution.
\item Comment on the assumption that each value is equally likely.
\item Suggest how you might refine the model in part (a).
\end{enumerate}
\hfill \mbox{\textit{Edexcel S1 2005 Q6 [6]}}