Chapter 1: Further Statistics 1: Discrete Probability Distributions

A-level Further MathsFurther Statistics 1 & 23 topicsHigher

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Further Statistics 1: Discrete Probability Distributions: 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

Distribution of X

item	value	use
x	0, 1, 2, 3	values
P(X=x)	0.10, 0.25, 0.40, 0.25	probabilities

FS01-1 Find the required result for Further Statistics 1: Discrete Probability Distributions. Given A discrete random variable X has

P(X = 0,1,2,3) = 0

.10, 0.25, 0.40, 0.25. Use calculate E(X), E(

X^{2}

), Var(X) and transform to E(3X-2), Var(3X-2). (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

Distribution of X

item	value	use
x	0, 1, 2, 3	values
P(X=x)	0.10, 0.25, 0.40, 0.25	probabilities

FS01-2 Show that

E(X) = 1

.80 and

Var(X) = 0

.86 for Further Statistics 1: Discrete Probability Distributions. Start from A discrete random variable X has

P(X = 0,1,2,3) = 0

.10, 0.25, 0.40, 0.25. (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

Distribution of X

item	value	use
x	0, 1, 2, 3	values
P(X=x)	0.10, 0.25, 0.40, 0.25	probabilities

FS01-3 Determine the requested value in this structured Further Statistics 1: Discrete Probability Distributions problem: find P(Y = 4) for Y = 3X - 2. Use the same data: A discrete random variable X has

P(X = 0,1,2,3) = 0

.10, 0.25, 0.40, 0.25. (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

Distribution of X

item	value	use
x	0, 1, 2, 3	values
P(X=x)	0.10, 0.25, 0.40, 0.25	probabilities

FS01-4 Hence use the result

E(X) = 1

.80 and

Var(X) = 0

.86 to complete the extension for Further Statistics 1: Discrete Probability Distributions: find P(Y = 4) for Y = 3X - 2. (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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Start of Further Statistics 1 & 2

2. Further Statistics 1: The Poisson Distribution

Key learning objectives

Understand the key principles behind Further Statistics 1: Discrete Probability Distributions.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.