istorical record at Telestra (telecommunication company) shows that 25% of all new Broad band nnections require a technician to perform field work. Record also show that 18% of all new broad and connections require a technician to perform exchange work. a) Construct a probability contingency table for the events "new connections has exchange work" and "new connection has field work" (you should assume that two events are independent. [3 marks] b) IF the technician only has to perform exchange work, the labor cost if $25. Of the technician only has to perform field work the labor cost if $130. If they have to perform both the labor cost is $150, and if they don't have to perform any work there is not labor cost. Determine the average labor cost of new broad band connections. [4 marks] c) When they receive an order for a new broad band connection, sometime the sales consultant has enough information to know whether a field task will be required. Determine the average labor cost of a new broad band connection, given that a field task will be require. [4 marks] Whenever a technician performs a new connection, they are supposed to offer the customer free broad band connection extender. Most customers don't accept th extender because it consumes a lot of electricity and reduces the internet speed Research shows that the number of extenders that a technician will give away in a day follows a Poisson distribution with a mean of 1.5 per day. d) If a technician starts the day with two (02) extenders in his van, determine the probability that he will have enough extenders to meet day's demand. [4 marks]