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After burn-in, the lifetime of a mechanical valve is known to be lognormal with t_med =...

After burn-in, the lifetime of a mechanical valve is known to be lognormal with t_med = 2236 hr and s = 0.41. The component is to be used in a pumping device that will require 5 weeks of continuous use. What is the probability of no failure occurring because of the valve? (five decimal places)

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