In a factory, machines A, B and C produce electronic components. Machine A produces 16% of the components, machine B produces 50% of the components and machine C produces the rest. Some of the components are defective. Machine A produces 4%, machine B 3% and machine C 7% defective components. a Draw a tree diagram to represent this information. Find the probability that a randomly selected component is b produced by machine B and is defective, c defective. Given that a randomly selected component is defective, d find the probability that it was produced by machine B.

AppendixLO1