$(5$ points, Biometrics$)$ Consider a Biometric Authentication System with a False Positive Rate of $0\mathrm{.}001$ and a

False Negative Rate of $0\mathrm{.}09.$

a$.$ If there are $100,000,000$ legitimate transactions $($connections$)$ a day, how many false alarms will

occur?

b$.$ If there are $1000$ hacking attempts $($connections$)$ per day, how many true alarms will be given?

c$.$ How many hacking attempts will go unnoticed?