A security software for analyzing video footage at an airport security checkpoin

Question

A security software for analyzing video footage at an airport security checkpoint can detect faces of wanted people with a probability of 92%. However, in 3% of the cases, the software identifies a person who is not wanted incorrectly. The security staff assumes that on a specific day a group of 10 wanted people will try to pass the checkpoint. The number of passengers per day is 10,000. How many people will be incorrectly identified as being wanted? per ple will be incorrectly identied as being

Explanation / Answer

total passengers per day =10000

wanted people = 10

non wanted people = 10000 - 10 = 9990

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now, it is given that software identifies a person who is not wanted incorrectly is 3%.

it means software categorise them in wanted category incorrectly

so, total people incorrectly identify as being wanted = 9990*3%

=299.7

approx 300 people

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