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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Applied Probability And Stochastic Processes

ISBN: 9780367658496

2nd Edition

Authors: Frank Beichelt

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Question Posted: Apr 26, 2024 04:01 PM

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The resistance values (X, Y), and (Z) of 3 resistors connected in series are assumed to be

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Applied Probability And Stochastic Processes

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