| Exam Board | AQA |
|---|---|
| Module | Further Paper 3 Statistics (Further Paper 3 Statistics) |
| Year | 2023 |
| Session | June |
| Marks | 1 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Cumulative distribution functions |
| Type | Discrete CDF to PMF |
| Difficulty | Easy -1.8 This is a trivial discrete CDF question requiring only the basic definition: P(A=2) = F(2) - F(0) = 0.6 - 0.2 = 0.4. It's a single-step calculation with multiple choice answers, testing only recall of the relationship between CDF and PMF with no problem-solving required. |
| Spec | 5.02a Discrete probability distributions: general |
| \(a\) | 0 | 2 | 4 |
| \(\mathrm {~F} ( a )\) | 0.2 | 0.6 | 1 |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| \(0.4\) | B1 | Circles correct answer |
## Question 1:
| Answer | Mark | Guidance |
|--------|------|----------|
| $0.4$ | B1 | Circles correct answer |
**Question total: 1 mark**
---1 The discrete random variable $A$ takes only the values 0,2 and 4, and has cumulative distribution function $\mathrm { F } ( a ) = \mathrm { P } ( A \leq a )$
\begin{center}
\begin{tabular}{ | c | c | c | c | }
\hline
$a$ & 0 & 2 & 4 \\
\hline
$\mathrm {~F} ( a )$ & 0.2 & 0.6 & 1 \\
\hline
\end{tabular}
\end{center}
Find $\mathrm { P } ( A = 2 )$\\
Circle your answer.
$0 \quad 0.4 \quad 0.6 \quad 0.8$
\hfill \mbox{\textit{AQA Further Paper 3 Statistics 2023 Q1 [1]}}