c. A steel fabricator fills 60% of its orders from its factory in Albury and the remainder from its factory in Wagga. The fabricator finds that 3% of Albury orders are completed late, while this increases to 7% completed late for the Wagga factory. In your analysis below use the notation A to represent the event that an order is filled from Albury and L to represent the event that a job is late. i. Determine the probability that an order was filled by the Wagga factory, that is P(A) . (1 mark) ii. Represent the situation described as a probability tree using the notation provided and with outcomes and probabilities labelled. (2 marks) iii. Identify branches on your probability tree where the order is late and then calculate the proportion of all orders that are late. (2 marks)