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CAIE A-Level Further Math AS 4.1 Continuous Random Variables Questions

Practise piecewise density and distribution functions, transformed variables, expectations, variances, medians and percentiles.

Syllabus
2028–2030
Course
Further Mathematics 9231
Level
AS

Exam points

  • normalise a piecewise PDF before calculating probabilities or expectations
  • integrate to obtain a CDF, median, percentile, E[g(X)] or Var(X)
  • derive a transformed variable's CDF first, then differentiate to obtain its PDF

Covered syllabus points

4.1.1—Piecewise density functions4.1.2—Expected values of functions4.1.3—PDF and CDF4.1.4—PDF and CDF

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