Question

3. A manufacturing process produces integrated circuit chips. Over the long run, the fraction of bad chips produced by the process is 20%. Thoroughly testing a chip to determine whether it is good or bad is rather expensive, so a cheaper test is used. All good chips will pass the test, but so will 6% of the bad chips. a) (4 points) What is the probability that a randomly chosen chip will pass the test

Answer 1

Answer:

0.812 = 81.2% probability that a randomly chosen chip will pass the test

Step-by-step explanation:

Over the long run, the fraction of bad chips produced by the process is 20%.

So 100 - 20 = 80% are good.

All good chips pass the test, while 6% of the bad chips(20%) also pass.

a) (4 points) What is the probability that a randomly chosen chip will pass the test

$p = 0.8 + 0.06*0.2 = 0.812$

0.812 = 81.2% probability that a randomly chosen chip will pass the test