Question

tim works for a cell phone company and is testing their new biometric security feature. he conducted a test in which 4,000 attempts were made to unlock the phone. of the attempts to unlock the phone, 25% were made by someone other than the phone’s owner. the results of the test are shown in the table. table with rows: unlocked, did not unlock, total; columns: owner, not the owner, total. values: unlocked - owner: 2,418, not the owner: 232, total: 2,650; did not unlock - owner: 582, not the owner: 768, total: 1,350; total - owner: 3,000, not the owner: 1,000, total: 4,000 what is the probability that someone who is able to unlock the phone using the biometric security feature is not the owner? a. 6.2% b. 8.8% c. 5.8% d. 9.6%

Explanation:

Step1: Identify relevant counts

We need the number of non - owners who unlocked the phone and the total number of attempts. From the table, the number of non - owners who unlocked the phone is 232, and the total number of attempts is 4000.

Step2: Calculate the probability

The probability \(P\) is given by the formula \(P=\frac{\text{Number of non - owners who unlocked}}{\text{Total number of attempts}}\). So \(P = \frac{232}{4000}\).

Step3: Convert to percentage

\(\frac{232}{4000}=0.058 = 5.8\%\)

Answer:

C. 5.8%