Chapter 2: Further Statistics 1: The Poisson Distribution

A-level Further MathsFurther Statistics 1 & 25 topicsHigher

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Releases 1 August 2026

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Further Statistics 1: The Poisson Distribution: Edexcel Further Maths Optional Long-Answer Questions

Examiner-style long-answer practice with automatic marking, improvement advice and ProofCoach tracking.

4 questions32 marks64 min

standard / hard / synoptic

8 marksfindstandardEdexcel

FS02-1 Find the required result for Further Statistics 1: The Poisson Distribution. Given Calls to a helpdesk follow

X \sim Po(3.2)

per 10 minutes. A second independent queue has

Y \sim Po(1.8)

. Use use Poisson probabilities and addition of independent Poisson variables. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksshow thathardEdexcel

FS02-2 Show that X +

Y \sim Po(5.0)

for Further Statistics 1: The Poisson Distribution. Start from Calls to a helpdesk follow

X \sim Po(3.2)

per 10 minutes. A second independent queue has

Y \sim Po(1.8)

. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksdeterminehardEdexcel

FS02-3 Determine the requested value in this structured Further Statistics 1: The Poisson Distribution problem: find P(X

\leq

2) and P(X + Y = 6). Use the same data: Calls to a helpdesk follow

X \sim Po(3.2)

per 10 minutes. A second independent queue has

Y \sim Po(1.8)

. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 markshencesynopticEdexcel

FS02-4 Hence use the result X +

Y \sim Po(5.0)

to complete the extension for Further Statistics 1: The Poisson Distribution: find P(X

\leq

2) and P(X + Y = 6). (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

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1. Further Statistics 1: Discrete Probability Distributions

3. Further Statistics 1: Hypothesis Testing

Key learning objectives

Understand the key principles behind Further Statistics 1: The Poisson Distribution.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.