An engineer designs a circuit, seen below. In this system, if the first component fails, the functionality moves immediately to the second component and so on. The system only fai when the fifth component fails. Each component has a lifetime that is exponentially distrib with λ = 0.01 and components fail independently of one another. Define A, to be the length time component į lasts. Let Y = the time at which the new system fails. m 1. Define in words what the event {Y≥t} means in reference to the values A₁, ..., A5.

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An engineer designs a circuit, seen below. In this system, if the first component fails, the
functionality moves immediately to the second component and so on. The system only fai
when the fifth component fails. Each component has a lifetime that is exponentially distrib
with λ = 0.01 and components fail independently of one another. Define A, to be the length
time component i lasts. Let Y = the time at which the new system fails.
~
3
5
1. Define in words what the event {Y ≥t} means in reference to the values A₁,
A5.
Transcribed Image Text:An engineer designs a circuit, seen below. In this system, if the first component fails, the functionality moves immediately to the second component and so on. The system only fai when the fifth component fails. Each component has a lifetime that is exponentially distrib with λ = 0.01 and components fail independently of one another. Define A, to be the length time component i lasts. Let Y = the time at which the new system fails. ~ 3 5 1. Define in words what the event {Y ≥t} means in reference to the values A₁, A5.
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Given a parallelly connected circuit, in which if the first component fails, the functionality moves immediately to the second component and so on. The system fails only when the fifth component fails.

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