Advanced level 2025 North West Regional Mock mathematics statistics 3

Advanced level 2025 North West Regional Mock mathematics statistics 3

Advanced level 2025 North West Regional Mock mathematics statistics 3

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Part I:

Given: P(A)=125​ P(A∩B)=61​

Find: a) $P(B)$ b) $P(A\cup B)$ c) $P(A|B)$

Part II:

A box contains 20 red, 15 blue and 5 green Schneider pens. Two pens are selected at random, one after the other from the box without replacement. Find the probability that: d) The pens are of the same color e) At least one red pen is drawn

Part III:

The table below summarizes the results obtained during an HIV free screening campaign in a small community in OMBE where some 715 people were tested.

a) How many people were tested negative? b) State the modal age group of infected persons. c) Calculate to 2 decimal places, the average age of persons infected. d) Draw a cumulative frequency curve to represent the data. Using the cumulative frequency curve drawn, calculate to 1 decimal place: e) The median age of infected persons. f) The semi-inter quartile range.