(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I am trying to find the probability that a valve will be able to undergo one cycle of demand?

Given that a particular type of remotely controlled mechanical valve can be assumed to have a probability of not opening, when closed, of 0.02 and a probability of not closing, when open, of 0.01

The valve is installed in a pipeline which is to carry a fluid with the valve initially closed. What is the probability that the valve will be able to undergo one cycle of demand? I.e it will open to allow fluid to flow when required and will then close to stop fluid flowing when required to stop it.

(BTW does anyone know any software to use with Microsoft word that can add symbols such as the exponential to your word document)

2. Relevant equations

probability of not opening when closed = 0.02

probability of not closing when open = 0.01

3. The attempt at a solution

I am really stuck on this I am assuming a branched diagram with all the various possibilities and for one cycle I assume closed-- branches into open and closed, which in turn branches into open and closed, and to multiply out the probabilities which gave me a wrong answer(correct ans is 0.970200)

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# Homework Help: Probability of valve opening when closed and closed when opened

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