Edexcel S1 — Question 1 4 marks

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicProbability Definitions
TypeBasic probability calculation
DifficultyEasy -1.8 This is a pure recall question testing basic definitions from probability theory. Students need only state memorized facts about sample spaces and probability functions (non-negativity and sum to 1), with no calculation, application, or problem-solving required. This is significantly easier than typical A-level questions.
Spec2.03a Mutually exclusive and independent events5.02a Discrete probability distributions: general

  1. Briefly explain what is meant by a sample space. [2 marks]
  2. State two properties which a function \(f(x)\) must have to be a probability function. [2 marks]

AnswerMarks Guidance
(a) The set of all possible outcomes of an experimentB2
(b) \(f(x) \geq 0\) for all \(x\), \(\sum f(x) = 1\)B1 B1 4 marks total
(a) The set of all possible outcomes of an experiment | B2 |

(b) $f(x) \geq 0$ for all $x$, $\sum f(x) = 1$ | B1 B1 | 4 marks total
\begin{enumerate}[label=(\alph*)]
\item Briefly explain what is meant by a sample space. [2 marks]
\item State two properties which a function $f(x)$ must have to be a probability function. [2 marks]
\end{enumerate}

\hfill \mbox{\textit{Edexcel S1  Q1 [4]}}