At a factory, 40% of the machines can be serviced in-house, with
the rest requiring the company to hire an
outside specialist. Suppose that the machines that are serviced
in-house have a failure rate of 20%, and that
the machines serviced by an outside specialize have a failure rate
of 8%. If a random machine has failed, what
is the probability that the foreman will have to hire an outside
specialist to fix it?
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