Assignment:
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.
Provide complete and step by step solution for the question and show calculations and use formulas.