A company manufactures two types of computer monitors, type A and type B/ Type A monitors have a defect rate of 5% While type B monitors have a defect rate of 2%. The company produces 60% type A monitors and 40% type B monitors.
Suppose a monitor is randomly selected from the production line and tested for defects.
The test correctly identifies a defective monitor 95% of the time and incorrectly identifies a non-defective monitor as defective 3% of the time pa. If a monitor tests positive for defects, what is the probability that it is a type A monitor? If a monitor tests negative for defects what is the probability it is a type B monitor?

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Probability that a monitor tests positive for defects and is of ty... View the full answer