, 12.11.2019 01:31, Reganlist

# During an eight-hour shift, the proportion of timey that a sheet-metal stamping machine is down for maintenance or repairs has a beta distribution with α = 1 and β = 2. that is 2(1−y) , 0 ≤ y ≤ 1, f(y) 0, elsewhere. 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 + 4y^2. find the mean and variance of c.

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