Edexcel AS Paper 2 2018 June — Question 2

Exam BoardEdexcel
ModuleAS Paper 2 (AS Paper 2)
Year2018
SessionJune
TopicConditional Probability
TypeFinding unknown probability from total probability

  1. 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".