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. (a) Find the percentage of components bought from supplier C that are faulty. (3) A component is selected at random. (b) Explain why the event "the component was bought from supplier B" is not statistically independent from the event "the component is faulty". (1)