Question

A smartphone’s low battery fault/indicator LED light should alert the user by flashing yellow if the phone’s battery is too low. On a certain model, the probability of the fault LED flashing when it should is 0.99. Engineers are puzzled with one issue, however. Two percent of the time the LED flashes for no obvious reason. If there is a 10% chance that the battery is actually low, then what is the probability that the smartphone owner should be concerned about the flashing fault/indicator LED light? Is there a problem with this solution (yes/no)?

Answer 1

Solution:- The probability that the smartphone owner should be concerned about the flashing fault/indicator LED light is 0.1538, yes there a problem with this solution.

P(Low) = 0.10

P(Not low) = 1 - 0.10

P(Not low) = 0.90