Let X1, X2, ..., Xn be independent random variables and Y = min{X1, X2,..., Xn}. n Fy(y) = 1 – II (1 – Fx,(y)) i=1 (a) A certain electronic device uses 5 batteries, with each battery to have a life that is exponentially distributed with mean of 48 hours and is independent of the life of other batteries. If the device fails as soon as at least one of its batteries fail, what is the expected life of the device?

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