| Exam Board | Edexcel |
|---|---|
| Module | S1 (Statistics 1) |
| Paper | Download PDF ↗ |
| Topic | Discrete Probability Distributions |
| Type | Find cumulative distribution F(x) |
| Difficulty | Moderate -0.8 This is a standard S1 question testing basic probability distribution properties (finding parameters using E(X), stating F(x), calculating variance) and descriptive statistics from a stem-and-leaf diagram (mode, quartiles, box plot, mean, SD, skewness). All techniques are routine recall and straightforward application with no problem-solving insight required. Easier than average A-level due to being introductory statistics. |
| Spec | 5.02a Discrete probability distributions: general5.02b Expectation and variance: discrete random variables5.03e Find cdf: by integration |
7. A music teacher monitored the sight-reading ability of one of her pupils over a 10 week period. At the end of each week, the pupil was given a new piece to sight-read and the teacher noted the number of errors $y$. She also recorded the number of hours $x$ that the pupil had practised each week. The data are shown in the table below.
\begin{enumerate}[label=(\alph*)]
\item Given that $\mathrm { E } ( X ) = - 0.2$, find the value of $\alpha$ and the value of $\beta$.
\item Write down $\mathrm { F } ( 0.8 )$.\\
(a) Evaluate $\operatorname { Var } ( X )$.
\end{enumerate}
\hfill \mbox{\textit{Edexcel S1 Q7}}