SPS SPS SM Statistics 2024 September — Question 2

Exam BoardSPS
ModuleSPS SM Statistics (SPS SM Statistics)
Year2024
SessionSeptember
TopicProbability Definitions
TypeSequential events and tree diagrams

2. A factory buys \(10 \%\) of its components from supplier \(A , 30 \%\) from supplier \(B\) and the rest from supplier \(C\). It is known that \(6 \%\) of the components it buys are faulty. Of the components bought from supplier \(A , 9 \%\) are faulty and of the components bought from supplier \(B , 3 \%\) are faulty.
  1. Find the percentage of components bought from supplier \(C\) that are faulty. A component is selected at random.
  2. Explain why the event "the component was bought from supplier \(B\) " is not statistically independent from the event "the component is faulty".
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