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Step Time Probability 0.15 0.25 0.35 0.25 Step Time Probability 12 13 0.25 0.30

ID: 2655835 • Letter: S

Question

Step Time Probability 0.15 0.25 0.35 0.25 Step Time Probability 12 13 0.25 0.30 0.45 Step Time Probability 10 12 14 0.35 0.20 0.45 t an electronics manufacturing facility, the quality of a device is examined sequentially in ree steps before it is sent to the shipping department. The probability distributions for the ime required to complete each of the inspection steps are given in the table above. Considering that shorter times are better, compute total time to complete the three inspection teps for the worst case scenario.

Explanation / Answer

A B C=A*B STEP 1 Time Probability Time*Probability Remarks 2 0.15 0.3 Best Case 3 0.25 0.75 5 0.35 1.75 7 0.25 1.75 Worst Case SUM 4.55 Most Likely 4.55 A B C=A*B STEP 2 Time Probability Time*Probability Remarks 11 0.25 2.75 Best Case 12 0.3 3.6 13 0.45 5.85 Worst Case SUM 12.2 Most Likely 12.2 A B C=A*B STEP 3 Time Probability Time*Probability Remarks 10 0.35 3.5 Best Case 12 0.2 2.4 14 0.45 6.3 Worst Case SUM 12.2 Most Likely 12.2 Total time to complete inspection for the worst case scenario 34 (7+13+14) Total time to complete inspection for the best case scenario 23 (2+11+10) Total time to complete inspection for the base case (most likely)scenario 28.95 (4.55+12.2+12.2)

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