The resistance values (X, Y), and (Z) of 3 resistors connected in series are assumed to be
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The resistance values \(X, Y\), and \(Z\) of 3 resistors connected in series are assumed to be independent, normally distributed random variables with respective mean values 200,300 , and \(500[\Omega]\), and standard deviations 5,10 , and \(20[\Omega]\).
(1) What is the probability that the total resistance exceeds \(1020[\Omega]\) ?
(2) Determine that interval \([1000-\varepsilon, 1000+\varepsilon]\) to which the total resistance belongs with probability 0.95 .
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Related Book For
Applied Probability And Stochastic Processes
ISBN: 9780367658496
2nd Edition
Authors: Frank Beichelt
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