Question: A component is assembled in a four-step process. The probability of making a defective in step 1 is 10%; in step 2, 20%; in step

A component is assembled in a four-step process.

The probability of making a defective in step 1 is 10%; in step 2, 20%; in step 3, 8%; and in step 4, 5%.

What is the probability that the component will be found defective after the end of the process? Note that defectives made at a particular workstep are not caught/are ignored by other worksteps in this process, and continue on till the end of the process, that is, a defective made at a particular step continues on through all the steps in the process.

(Hint: the prob of a defective at every workstep = 1 minus the prob of making a good unit at every workstep)?

99.99%
62.9%
37.1%
0.008%

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