These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.
These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.
These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.
These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.
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IB MATH AI HL, Paper 3, November, 2022, TZ0, Solved Past Paper
Master the 2022 IB November for Paper 3 Mathematics AI HL with examiner tailored solutions and comments for TZ0
Question 1 [Explained]
In this scenario, you are tasked with exploring methods for predicting the outcomes of international football matches involving Argentina by using historical sports results.
Peter and Helen, two friends, are discussing potential prediction strategies. Peter proposes analyzing historical match data. He compiles the results of the last 240 matches that Argentina played, listed in chronological order.
Peter then divides these matches into 60 blocks of four matches each. For each block, he records the number of times Argentina won. The table below summarizes his findings for these 60 blocks of matches.
Number of wins for Argentina (per block of four matches) | Frequency |
|---|---|
0 | 0 |
1 | 11 |
2 | 21 |
3 | 21 |
4 | 7 |
Question 1 [a] [Explanation]
Calculate the average number of wins per set of four matches for the Argentina team.
In simpler terms, this question is asking you to determine how many wins Argentina typically achieves when looking at every four matches they play.
Question 1 [b] [Explanation]
Peter believes that his data can be modeled using a binomial distribution with n = 4. To test this model, he decides to perform a
Using Peter's data, provide an estimate for the probability (p) in this binomial model.
This question requires calculating the probability parameter (p) for a binomial distribution based on the given data.
Video Solution by an IB Examiner - Coming soon
Question 1 [c] [i] [Explanation]
Determine the likelihood that Argentina will not win any matches in a series of four games using the binomial distribution.
In simpler terms, we want to calculate the probability that Argentina loses all four matches if we know their chances of winning each match.