A-LevelMathematicsProbability and statisticsMay/June 2018Paper 6 Q36 Marks
The members of a swimming club are classified either as 'Advanced swimmers' or 'Beginners'. The proportion of members who are male is x, and the proportion of males who are Beginners is 0.7. The proportion of females who are Advanced swimmers is 0.55. This information is shown in the tree diagram. [Figure 3.1: Tree diagram showing probabilities for gender (Male/Female) and then swimmer classification (Advanced/Beginners).] 0.55 Females Advanced swimmers Beginners X Males 0.70 Advanced swimmers Beginners For a randomly chosen member, the probability of being an Advanced swimmer is the same as the probability of being a Beginner.
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