PROBLEM 3 (19 MARKS IN TOTAL). A company purchases electronic components in batch of 100 and the supplier guarantees that there will be no more than 5 defective components in each batch. Before acceptance of a particular batch the company has a policy of selecting without replacement two components for testing. If both components are satisfactory the batch is accepted and if both are defective the batch is rejected. However, if only one is defective another component is selected and if this is satisfactory the batch is accepted, while if it is defective, the batch is rejected. If the probability that a component is defective is 5%, answer the following questions. (a) (10 marks) Built the associated probability tree. (b) (9 marks) What is the probability that a particular batch will be accepted?