During an eight hour shift, the proportion of time Y that a sheet metal stamping machine is down for maintenance or repairs has a beta distribution with 1 and 2 That is, f(y) 2(1 y), 0 y 1 The cost (in hundreds of dollars) of this downtime, due to lost production and cost of maintenance and repair, is given by C 10 20Y 4Y2 Find the mean of C

Question: During an eight-hour shift, the proportion of time Y that a sheet-metal stamping machine is down for maintenance or repairs has a beta distribution with

During an eight-hour shift, the proportion of time Y that a sheet-metal stamping machine is down for maintenance or repairs has a beta with α = 1 and β =2. That is, f(y) = 2(1 - y), 0 ≤ y ≤ 1. The cost (in hundreds of dollars) of this downtime, due to lost production and cost of maintenance and repair, is given by C = 10 + 20Y + 4Y2. Find the mean of C.

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