Question: A company uses a security device that has a characteristic ( or ROC ) curve given Pd = 0 . 7 ( P$ ) 0

A company uses a security device that has a characteristic (or ROC) curve given
Pd =0.7(P$)0.5
Assume that the cost of a misdetection is $10, while that of a false positive is $2. The base rate of attacks is 0.05. What is the optimal operating point for the device?

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