Ambiguous depth indication and the utilities

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Reconsider the first example in Sec. 5.2. Based on the ambiguous depth indication and the utilities, the engineer used a long pile even though the shallow depth was more likely. Would this still be the correct action if the instrument had indicated a shallow depth? How large would the "error probability" P[z0 | θ1 ] have to be before the long pile would be the better decision no matter what depth the test indicated? Would the test be justified at any cost in this circumstance?

Reference no: EM131852989

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