Chapter 8: Further Statistics 2: Continuous Distributions

A-level Further MathsFurther Statistics 1 & 26 topicsHigher

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Further Statistics 2: Continuous 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

FS08-1 Find the required result for Further Statistics 2: Continuous Distributions. Given X has pdf

f(x) = kx(4-x) for 0 < x < 4

. Use normalise the pdf, integrate to find probabilities and solve for the median. (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

FS08-2 Show that k = 3/32 for Further Statistics 2: Continuous Distributions. Start from X has pdf

f(x) = kx(4-x) for 0 < x < 4

. (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

FS08-3 Determine the requested value in this structured Further Statistics 2: Continuous Distributions problem: find P(1 < X < 3) and the median equation. Use the same data: X has pdf

f(x) = kx(4-x) for 0 < x < 4

. (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

FS08-4 Hence use the result k = 3/32 to complete the extension for Further Statistics 2: Continuous Distributions: find P(1 < X < 3) and the median equation. (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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7. Further Statistics 2: Correlation

9. Further Statistics 2: Combinations of Random Variables

Key learning objectives

Understand the key principles behind Further Statistics 2: Continuous Distributions.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.