The manager of an electronic component manufacturer is concerned about the number of defects during each production shift. There are three shifts; morning, evening and night. Based on the past data, it was found that 35% of the components were produced during the morning shift, 35% during the evening shift and 30% during the night shift. It was also established that the percentages of the number of defective components produced during the three shifts are respectively 6%, 8% and 10%. (a) Construct a tree diagram showing all the events in the problem. (b) Suppose a component randoml;r selected by the manager was defective. What is the probabilir}F that the component was produced during the evening shift