acuum tube in a sonar scanning device. Based on past experience, the vacuum tube exhibits the following failure pattern: Number of Months of Operation    Probability of Failure 1                                                               0.1 2                                                               0.1 3

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The Navy uses a certain type of vacuum tube in a sonar scanning device. Based on past experience, the vacuum tube exhibits the following failure pattern:

Number of Months of Operation    Probability of Failure
1                                                               0.1
2                                                               0.1
3                                                               0.2
4                                                               0.1
5                                                               0.3
6                                                                0.2

Failures during operation cost $200 each, but the tube can be replaced before

failure for $50. Find the optimal replacement strategy.

31. The Navy uses a certain type of vacuum tube in a sonar scanning device. Based on
past experience, the vacuum tube exhibits the following failure pattern:
Number of
Months of Operation
Probability of Failure
1
.1
2
.1
3
.2
4
.1
5
.3
6
.2
Failures during operation cost $200 each, but the tube can be replaced before
failure for $50. Find the optimal replacement strategy.
Transcribed Image Text:31. The Navy uses a certain type of vacuum tube in a sonar scanning device. Based on past experience, the vacuum tube exhibits the following failure pattern: Number of Months of Operation Probability of Failure 1 .1 2 .1 3 .2 4 .1 5 .3 6 .2 Failures during operation cost $200 each, but the tube can be replaced before failure for $50. Find the optimal replacement strategy.
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