Question no 4 A small 3PL company uses one worker to load the shipment on truck for their outbound shipment. Usually trucks arrive at the facility at an average rate of 3 per hour according to a Poisson distribution. The worker takes around 15 minutes to load each truck. Determine a) (2 Points) The percentage of time the worker will be idle b) (2 Points) The expected number of trucks waiting to be loaded. c) (2 Points) The average time trucks spend in the system d) (2 Points) The company has recently standardized the process, which helps the worker to load each truck exactly in 10 minutes. If the arrival rate of the trucks is same as usual, then determine the expected number of trucks waiting to be loaded in the new system. e) (2 Points) Determine the average time trucks spend in the new system