Discuss the below:
Q: Suppose an airport scanning device has 98% accuracy in detecting certain kinds of metal objects (98% of people carrying these objects are correctly identified as carriers and 98% of people not carrying them are correctly identified as non-carriers). Suppose that 1% of all travelers actually carry such metal objects. For the 100,000 people who pass through the scanning device each week, do the following:
a. Find the number of people not carrying metal objects who are identified as carriers (false positives).
b. Find the number of non-carriers who are identified as non-carriers (true negatives).
c. Find the number of carriers who are identified as non- carriers (false negatives).
d. Find the number of carriers who are identified as carriers (true positives).
e. What percentage of the people identified as carriers are falsely identified?