A component is assembled in a four-step process. The probability of making a defect in step...
A component is assembled in a four-step process. The probability of making a defect 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 defective?
99.99%
62.9%
37.1%
0.008%
Homework Answers
Correct answer is 37.1 % . Explaination is given below :
| Production | Probability % at each step for producing a defective piece | Probability % at each step for producing a defect free piece | Probability of producing a correct piece | Probability of producing a defective piece |
| steps | deffective | without defects | 100 | 100-100=0 |
| 1 | 10 | 90 | 100*90/100=90 | 100-90=10 |
| 2 | 20 | 80 | 90*80/100=72 | 100-72=28 |
| 3 | 8 | 92 | 72*92/100=66.24 | 100-66.24-33.76 |
| 4 | 5 | 95 | 66.24*95/100=62.928 | 100-62.928=37.1 |
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