note: answer the question and EXPLAIN how you got your answer. Thank you. 4. At

Question

note: answer the question and EXPLAIN how you got your answer. Thank you.

4. At final inspection of certain integrated circuit chips, 20% of the chips are in fact defective. An automatic testing device does the final inspection. Its characteristics are such that 95% of good chips test as good. Also, 10% of the defective chips test as good (a) What is the probability that the next chip is good and tests as good? (b) What is the probability that the next chip tests as good? (c) What is the (conditional) probability that the next chip that tests as good is in fact good?

Explanation / Answer

a) P( Good and test good) = 0.95*(1-0.20) = 0.76

b) P( test good) = 0.20*0.10+(1-0.20)*0.95 = 0.78

c) P( good/test good) = (0.95*0.80)/0.78 = 0.9744

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