An imperfect robot tests motion sensors to see if they are accurate to within th

Question

An imperfect robot tests motion sensors to see if they are accurate to within the manufacturer’s specifications, classifying each motion sensor as accurate or not. It is known that 10% of motion sensors are accurate. If the motion sensor is accurate, there is a 95% chance that the robot classifies the sensor as accurate. If the motion sensor is not accurate, there is a 80% chance that the robot classifies the sensor as not accurate. If the robot classifies a sensor as not accurate, what is the probability that the motion sensor is in fact not accurate?

Explanation / Answer

We need to calculate

P( Not accurate/ Robot classifies as not accurate) = (0.80*0.90)/(0.80*0.90+0.10*0.05)

P( Not accurate/ Robot classifies as not accurate) = 0.9931 ( Rounded to four decimal places)

So , answer is 0.9931

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