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software has detected no issues with the TV. A TV can either be defective, or present a problem in the immediate future or be in
software has detected no issues with the TV. A TV can either be defective, or present a problem in the immediate future or be in perfect condition. You test your TV and the diagnostic test's result is negative. What is the probability that your TV is in perfect condition? A TV manufacturer realizes that for the TVs it manufactured, there is a o 15% chance that a TV will present a problem in the immediate future. 0 5% chance that a TV already has a problem (is defective). o 80% chance of a TV being in a perfect condition (it is neither defective, nor it will present a problem in the immediate future). In order to help the customers detect whether their TV presently has or may have any issues in the immediate future, the company released a diagnostic software for which a the probability that the software presents a positive result given that the TV is in perfect condition is 2%, o the probability that the software presents a negative result given that the TV is defective is 2%, o the probability that the software presents a negative result given that the TV will present a problem in the immediate future is 2%. A positive result from the diagnostic software means that the software has detected an issue with the TV. A negative result from the diagnostic software denotes that the
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