Answer:
a) P=0.018
b) P=0.001
Step-by-step explanation:
The probability of a false alarm is equal to the probability of not having a part (0.9) multiplied by the probability of generating a alarm if there is no part (0.02).
[tex]P_{FA}=P_{np}*P_a=(1-0.1)*0.02=0.9*0.02=0.018[/tex]
The probability of having a missed detection is equal to the probability of having a part (0.1) multiplied by the probability of not detecting it if it is there (0.01).
[tex]P_{miss}=P_p*P_{nd}=0.1*0.01=0.001[/tex]
