1. (2 pts) During an eighthour shift, the proportion of time Y that a sheetmetal stamping machine is down for maintenance or repairs follows a probability distribution whose PDF is dened as _ 3(1y)2 05951 y) {0 otherwise The cost (in hundreds of dollars) of this downtime, due to lost production and cost of mainte nance and repair, is given by C = 10 + 201' + 4Y2. Find the average cost