# Airport scanning Bayesian probability

1. 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?

https://brainmass.com/statistics/probability/airport-scanning-bayesian-probability-100096

#### Solution Preview

We have two events:

A: The scanning device detects a certain kind of metal object.

B: A person carries this kind of metal object.

From the condition, we have ...

#### Solution Summary

The solution uses Bayesian probability to determine the probabilities of travelers carrying metal objects based on the accuracy of a security scanner.