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A manufacturer sends each batch of a specialty coating through five consecutive processing stages: mixing, filtering, heating, cooling, and packaging. At each stage, one of several available machines can be used. The table gives the estimated probability that a batch will require reprocessing when each machine is used at a given stage. A dash indicates that the machine is not available for that stage. Reprocessing events at different stages are independent.
The manufacturer chooses a machine at each stage so as to minimize the probability that the batch will require reprocessing at least once during the five-stage process.
For each statement, select Yes if the statement is accurate under this strategy. Otherwise, select No.
The OA will be automatically revealed on Saturday 19th of September 2026 09:04:50 AM Pacific Time Zone
_________________
| Machine | Mixing | Filtering | Heating | Cooling | Packaging |
|---|---|---|---|---|---|
| 1 | 0.4 | 0.6 | 0.3 | 0.5 | 0.7 |
| 2 | 0.1 | 0.5 | 0.6 | 0.4 | 0.6 |
| 3 | 0.5 | 0 | 0.4 | 0.6 | 0.5 |
| 4 | 0.3 | 0.7 | 0.4 | 0.1 | 0.4 |
| 5 | 0.6 | 0.4 | 0.5 | 0.2 | 0.2 |
| 6 | 0.4 | 0.6 | 0.2 | 0.5 | 0.6 |
| 7 | 0.5 | 0 | - | 0.4 | 0.8 |
| 8 | - | 0.7 | 0.5 | - | 0.3 |
The manufacturer chooses a machine at each stage so as to minimize the probability that the batch will require reprocessing at least once during the five-stage process.
For each statement, select Yes if the statement is accurate under this strategy. Otherwise, select No.
| Yes | No | |
| The strategy does not uniquely determine which machine is used for filtering. | ||
| The probability that the batch completes the Mixing stage without reprocessing is no greater than the probability that it completes the Cooling stage without reprocessing. | ||
| The batch is more likely to complete all five stages without reprocessing than to require reprocessing at least once. |
The OA will be automatically revealed on Saturday 19th of September 2026 09:04:50 AM Pacific Time Zone
_________________
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