Analysis & Approaches HL · Topic 4 · Statistics & Probability

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

Probability distributions of discrete variables, expectation, variance and fair games.

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

24pages
120marks
3difficulty levels
Nosolutions included
T4Statistics & Probability

Download the AA HL Discrete Random Variables worksheet (PDF) ↓   All AA HL worksheets →

What this AA HL discrete random variables worksheet covers

Probability distributions of discrete variables, expectation, variance and fair games. 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.

Probability distribution tables and the sum-to-1 condition
Expected value E(X) and variance Var(X)
Linear transformations E(aX + b) and Var(aX + b)
Fair games and expected winnings
Exam tip for this topic. Lay the distribution out as a table even when the question gives a formula — it prevents missed outcomes.

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 discrete 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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