A clinical team designs a seizure detection and

warning device for a patient with chronic epilepsy. In a trial recording, the patient had $10$ seizures, $7$ of which

were detected by the device. The device issued a total of $14$ warnings. Based on these results:

a$.[5]$ What is the expected sensitivity $($recall$)$ of the seizure detector?

b$.[5]$ What is the expected precision of the detector?

c$.[5]$ What is the F$1$ score of the detector?

d$.[10]$ The patient was sent home with the device operating continuously. In the following month, the patient

had a total of $63$ seizures. The patient considers the device acceptable if it generates not more than one false

alarm per actual seizure $($not per detection$).$ Based on the expected performance does the device satisfy this

condition?