Is Topic 6.2 in Paper 1 or Paper 2?

Topic 6.2 is part of Probability & Statistics and is assessed in Paper 2 Section B (60 marks). Paper 1 covers Pure Mathematics only.

Can I use the GC for binomial probability calculations?

Yes. binompdf and binomcdf (TI) or BPD and BCD (Casio) are expected tools. You must still write down the model \$X \sim \operatorname\{Bin\}(n, p)\$, state the probability expression (e.g. \$P(X \geq 3)\$), and show that you are using the complement or cumulative form correctly.

What is the difference between a discrete random variable question and a binomial question?

A general discrete random variable question gives you a custom PMF table, while a binomial question describes a scenario with \$n\$ independent trials. The binomial is a special case of a discrete random variable. For a custom PMF, you work directly from the table; for binomial, you use the formula \$\binom\{n\}\{r\}p^r(1-p)^\{n-r\}\$ or the GC. ---

Study guide07 Oct 2025, 00:00 Z

H2 Maths Discrete Random Variables | Free Notes

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H2 Maths discrete random variables notes: key formulas for expectation, variance, and binomial distribution with step-by-step exam solutions.

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Core Concepts
Binomial Model
Custom PMFs

Q: What does H2 Maths Notes (JC 1-2): 6.2) Discrete Random Variables cover?
A: Expectation, variance, binomial modelling, and calculator workflows for H2 discrete distributions.

Study cadence
Re-derive the expectation and variance formulas from first principles once per week so you remember why each term appears. Keep a small table template in your notes for probability mass functions (PMFs) so you can slot in values quickly during exams.

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If you have...	Walk away with this	First action
1 second	A discrete random variable counts possible outcomes.	List the values it can take.
10 seconds	Expectation is the long-run average.	Multiply each value by its probability.
100 seconds	Binomial questions need fixed trials, constant probability, independence, and success/failure outcomes.	Check the four conditions before using the formula.

Concrete example: If 12 candidates each independently accept with probability 0.3, the number who accept is binomial. If one acceptance affects another, it is not.

Status: SEAB's current H2 Mathematics (9758) syllabus PDF is labelled for 2026. Topic 6.2 is assessed in Paper 2 Section B (Probability and Statistics, 60 marks) and focuses on discrete distributions and the binomial model.

Core Concepts

A discrete random variable $X$

$x$	$0$	$1$	$2$	$3$
$P\left( X = x \right)$	$0.1$	$0.3$	$0.4$	$k$

H2 Maths Discrete Random Variables | Free Notes

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Core Concepts

Binomial Model

Custom PMFs

Transformations

Calculator Workflows

Exam Watch Points

Practice Quiz

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Common exam mistakes

Frequently asked questions

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