Analysis & Approaches HL · Topic 4 · Statistics & Probability

IB Math AA HL Continuous Random Variables Worksheet (questions only)

Probability density functions, cumulative distributions, expectation, variance, median and mode for continuous variables.

27 pages · 120 marks · questions only · free PDF for IB Mathematics: Analysis and Approaches HL students.

27pages
120marks
3difficulty levels
Nosolutions included
T4Statistics & Probability

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What this AA HL continuous random variables worksheet covers

Probability density functions, cumulative distributions, expectation, variance, median and mode for continuous variables. The questions follow the order of the AA HL syllabus for Topic 4 (Statistics & Probability) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

Verifying a pdf integrates to 1 and finding an unknown constant
Probabilities as definite integrals
E(X), Var(X) and the median from the pdf
Mode from the maximum of the pdf
Exam tip for this topic. Set up every probability as an integral with limits written down before evaluating on the GDC.

Preview

How to use it

  1. Do the first band without the AA HL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. For the third band, compare your method with the matching questions in the AA HL question bank; if you want this set marked, send it to Mr Ahmad.

More AA HL worksheets on Statistics & Probability

✓ = solutions included

Questions

Is this AA HL continuous random variables worksheet free?

Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.

Does it come with answers?

This set is questions only. If you would like it marked, or want the matching solutions, contact Mr Ahmad.

Which IB course is it for?

IB Mathematics: Analysis and Approaches HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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