Question

Some airports are installing face recognition systems to identify terrorists and criminals trying to enter the country. Statistics show that about one in one million people passing through the airports is a terrorist. Suppose the FAR is about 1 percent. The FRR is about 30 percent. Assume there are 10 million terminal visitors (i.e., people entering the country) at all country's airports. Based on the information provided, calculate the number of terrorists attempting to get in the country through airports, the number of terrorists that would be identified, the number of daily legitimate passengers, the number of passengers incorrectly identified as terrorists. Report your answers to the following table. Note: Some of the numbers are given to you in the exercise. You just need to report them to the table. Number of Terminal visitors FRR FAR Number of Terrorists Number of Terrorists identified Number of Legitimate passengers Number of Passengers incorrectly identified

Answer 1

Answer and Explanation:

Given the table,

Number of Terminal visitors:

FRR:

FAR:

Number of Terrorists:

Number of Terrorists identified:

Number of Legitimate passengers: Number of Passengers incorrectly identified:

We fill the table,

Number of Terminal visitors: 10,000,000

FRR: 3,000,000

FAR: 100,000

Number of Terrorists: 10

Number of Terrorists identified: 3,000,010

Number of Legitimate passengers: 9,999,990

Number of Passengers incorrectly identified: 3,100,000

Number of passengers incorrectly identified as terrorists : 3,000,000

Note:

1. Number of terminal passengers is 10 million from question(number of passengers entering the country from all airports in the country)

2. The False Rejection Rate(FRR) is the rate of rejection of authorised passengers by the biometric system. It is 30% here. We calculate 0.30*10 million= 3 million

3. False Acceptance Rate(FAR) is the rate of acceptance of unauthorized passengers by the biometric. It is 1% here. We calculate 0.01*10 million= 100000

4. Number of Terrorists is equal to 10 since one in one million people are terrorists. 10 million people would then have 10 terrorists.

5. Number of Terrorists identified: number of terrorists would be number of falsely identified terrorists 3 million + number of terrorists 10 = 3,000,010 ( assuming that all terrorists were identified)

6. Number of Legitimate passengers: number of legitimate passengers = 10 million passengers- number of terrorists 10= 9,999,990

7. Number of Passengers incorrectly identified: number of passengers incorrectly identified is equal to falsely rejected passengers(FRR) 3 million + falsely accepted passengers 100000= 3,100,000

8. Number of passengers incorrectly identified as terrorists is equal to falsely rejected passengers (FRR) =3,000,000