A monitoring system is in charge of detecting malfunctioning machinery in a facility There are two hypotheses to choose from H 0 There is not a malfunction, H 1 There is a malfunction The system notifies a maintenance team if it accepts H 1 Suppose that, after processing the data, we obtain P(H 1 y...

To determine whether the system should alert a maintenance team accept H1 we need to calculate the e ...

A monitoring system is in charge of detecting malfunctioning machinery in a facility. There are two hypotheses

Question:

A monitoring system is in charge of detecting malfunctioning machinery in a facility. There are two hypotheses to choose from:

H₀: There is not a malfunction,

H₁: There is a malfunction.

The system notifies a maintenance team if it accepts H₁. Suppose that, after processing the data, we obtain P(H₁|y) = 0.10. Also, assume that the cost of missing a malfunction is 30 times the cost of a false alarm. Should the system alert a maintenance team (accept H₁)?

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