A system has m controllers and n actuators. The system has redundancy built in so that...
A system has m controllers and n actuators. The system has redundancy built in so that it will be operational if at least one controller and two actuators have not failed. All controllers and actuators fail independently.
If the probability that a controller fails is pc = 0.25, and the probability that an actuator fails is pa = 0.1, find the probability that the system will be operational for:
(a) 1 controller, 2 actuators
(b) 2 controllers, 2 actuators
(c) 2 controllers, 3 actuators
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A system has m controllers and n actuators. The system has
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Suppose each component has a lifetime that is exponentially
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Please provide all steps and explanations as to how you answer the problem so that I can understand.
Please provide all steps and explanations as to how you answer
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1. If the probability that C fails is 0.1 and the
probability that D fails is 0.12, find the probability that the
system functions. Round the answer to four decimal places.
2. If both C and D have probability p of failing, what
must the value of p be so that the probability that the
system functions is 0.98?
3. If three components are connected in parallel, function
independently, and each has probability p of failing, what
must the value of...
A system consists of five identical components connected in series
as shown:As soon as one components fails, the entire system will fail.
Suppose each component has a lifetime that is exponentially
distributed with ? = 0.01 and that components fail independently of one another.
Define eventsAi= {ith
component lasts at least t hours}, i = 1, . . . , 5, so that the Ais
are independent events. Let X = the time at which the system failsthat is, the...
Please provide all steps and explanations as to how you answer
the problem so that I can understand.
23. A flashlight needs two batteries to be operational. Consider such a flashlight along with a set of n functional batteries-battery 1, battery 2, ..., batteryn. Initially, battery 1 and 2 are installed. Whenever a battery fails, it is immediately replaced by the lowest numbered functional battery that has not yet been put in use. Suppose that the lifetimes of the different...
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