Question: SET LIP You manufacture silicon chips. You nave performed very expensive tests to determine the following The probability ot manufacturing a detective chip is

SET LIP You manufacture silicon chips. You nave performed very expensive tests

to determine the following The probability ot manufacturing a detective chip is

SET LIP You manufacture silicon chips. You nave performed very expensive tests to determine the following The probability ot manufacturing a detective chip is 4/10 The probabillty ot passing inspection (by human inspectors) given that the chip is defective is 3/10 The probability ot passing inspection (by human inspectors) given that the chip is non- detective is 8/10. MAIN QUESTION: What is the probability that a chip is detective given that it passed inspection (by human inspectors)? ANALYTICAL SOLUTION: Detine tne tonomng events: D = the event that a chip is defective DC = the event that a chip is non-detective G = the event that a chip passes inspection B = the event that a chip does not pass inspection = GC (Fill up the blanks) P(GID) = P(BID) = P(GIDC) = P(BIDC) = Note that the main question is: P(DIG) ? Using Bayes' rule, the answer to the main question is P(DIG) - (Fill in the blank)

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