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, May, 2022, TZ2, Solved Past Paper
Master the 2022 IB May for Paper 3 Mathematics AI HL with examiner tailored solutions and comments for TZ2
Question 1 [Explained]
The study aims to determine if advertising campaigns can improve the financial performance of a grocery store by analyzing the sales of rice bags, a common product in such stores.
Aimimka, a grocery store manager in Nong Khai, has been monitoring the daily sales of rice bags over a period of 90 days. She assumes that this sales data follows a Poisson distribution, which is a statistical model used for counting the number of times an event occurs within a specified interval of time.
The question is exploring whether advertisements can boost the revenue of a grocery store by focusing on the sale patterns of rice bags. Aimimka has collected data for 90 days and believes that the number of sales each day can be modeled using a Poisson distribution, which is helpful for understanding how frequently sales happen in a fixed timeframe.
Number of bags of rice sold | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Number of days | 1 | 8 | 12 | 11 | 19 | 14 | 13 | 8 | 2 | 0 | 2 |
Question 1 [a] [i] [Explanation]
Calculate the mean and variance for a given set of numerical data.
These calculations will provide a snapshot of the central tendency and the dispersion of the data respectively.
Question 1 [a] [ii] [Explanation]
Aimmika hypothesizes that her dataset is best described by a Poisson distribution.
Provide reasons supporting her belief, considering any relevant statistical features or patterns observed in the data.
Question 1 [b] [Explanation]
Identify one assumption that Aimmika needs to make about the sales of bags of rice to support her belief that it follows a Poisson distribution.
In simple terms, the question is asking for a necessary assumption that Aimmika must make regarding the sales of bags of rice to justify her belief that the sales data fits a Poisson distribution. This means identifying a condition that would make the sales data align with the characteristics of a Poisson distribution.
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