A surveillance system is in charge of detecting intruders to a facility There are two hypotheses to choose from H 0 No intruder is present H 1 There is an intruder The system sends an alarm message if it accepts H 1 Suppose that after processing the data, we obtain P(H 1 y) 0 05 Also, assume that t...

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A surveillance system is in charge of detecting intruders to a facility. There are two hypotheses to

Question:

A surveillance system is in charge of detecting intruders to a facility. There are two hypotheses to choose from:

H₀: No intruder is present.

H₁: There is an intruder.

The system sends an alarm message if it accepts H₁. Suppose that after processing the data, we obtain P(H₁|y) = 0.05. Also, assume that the cost of missing an intruder is 10 times the cost of a false alarm. Should the system send an alarm message (accept H₁)?

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