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The table below shows the probability distribution of past records of the number of breaks of a heavy-duty document scanning machine in a week. It

The table below shows the probability distribution of past records of the number of breaks of a heavy-duty document scanning machine in a week. It is estimated that each breakdown costs the company $2,850 in lost business. Find the standard deviation of the weekly cost from the breakdowns of this machine.

No. of breaks (X) 0 1 2 3 4
P(X) 0.14 0.34 0.2 0.15 0.17

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