1.( i) Three dump trucks are being planned to work as a team to excavate a particular site. Each dump truck can excavate 180m3 per day and is likely to be broken down to 2 days in 10. Calculate the probability of the fleet achieving a range of daily outputs, plot them on histogram, and calculate the average daily output of the fleet. ii) The fleet of trucks would be working with an excavator that can achieve the following daily outputs: Table Q.1 Daily output of Excavator Output (m3) Probability 0 0.08 100 0.10 200 0.20 300 0.35 400 0.20 500 0.15 Illustrate the information in Table Q.1 on a histogram. Calculate the average daily output of the excavator. Calculate the probabilities of achieving the range of outputs as in Table Q.1 for the fleet of dump trucks working together with the excavator. Determine the average daily outputs of trucks and excavator working together as a team