Applications & Interpretation SL · Topic 4 · Statistics & Probability

IB Math AI SL Probability Distributions Worksheet (with full solutions)

Discrete distributions, expected value, the binomial distribution and an introduction to the normal distribution.

26 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Applications and Interpretation SL students.

26pages
120marks
3difficulty levels
Yessolutions included
T4Statistics & Probability

Download the AI SL Probability Distributions worksheet (PDF) ↓   All AI SL worksheets →

What this AI SL probability distributions worksheet covers

Discrete distributions, expected value, the binomial distribution and an introduction to the normal distribution. The questions follow the order of the AI SL 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 E(X)
Binomial probabilities on the GDC
Normal probabilities and inverse normal
Choosing the right distribution for a context
Exam tip for this topic. Name the distribution with its parameters before any calculation: X ~ B(10, 0.3) or X ~ N(50, 4²).

Preview

How to use it

  1. Do the first band without the AI SL 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 AI SL worksheets on Statistics & Probability

✓ = solutions included

The same topic for other courses

Questions

Is this AI SL probability distributions 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: Applications and Interpretation SL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

Stuck on a question from this sheet?

Mr Ahmad tutors IB Mathematics: Applications and Interpretation SL students in Dubai and online — topic drills like this one, past-paper technique and IA support.

Book a 50% Off Trial Lesson →
Mr. Ahmad · IB Maths TutorAsk me anything about lessons