Analysis & Approaches HL · Topic 4 · Statistics & Probability

IB Math AA HL Binomial Distribution Worksheet (with full solutions)

Modelling the number of successes in a fixed number of independent trials, with full use of the GDC distribution functions.

23 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Analysis and Approaches HL students.

23pages
120marks
3difficulty levels
Yessolutions included
T4Statistics & Probability

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What this AA HL binomial distribution worksheet covers

Modelling the number of successes in a fixed number of independent trials, with full use of the GDC distribution functions. 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.

Identifying when the binomial model applies
P(X = k), P(X ≤ k) and P(X ≥ k) on the GDC
Expected value np and variance np(1 − p)
Inverse problems: finding n or p from a given probability
Exam tip for this topic. Write the distribution as X ~ B(n, p) and the exact probability statement before giving the GDC value.

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. Mark the third band against the solutions and rewrite every question you lost marks on from a blank page.

More AA HL worksheets on Statistics & Probability

✓ = solutions included

The same topic for other courses

Questions

Is this AA HL binomial distribution 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?

Yes, full worked solutions are included at the end of the PDF.

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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