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Mathematics, 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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