Question

10k If we connect a 10 kN 10% tolerance and a 4.7 kO resistor in parallel. What is the expected value of the resulting resistance and its standard deviation? You can assume that the resistors are uniformly distributed and independent. дz a2z (Maths: z= -2y2 x+y' ox (x+y)2' 0x2 (x+y)3 4k7 ху y2 a) What would the result be if the tolerance was 0%? (2) b) What is the variance of each resistor given that the tolerance is 10% (uniformly distributed)? (2) c) What is the expected value of the result based on Papoulis' formula? (4) d) What is the standard deviation of the result based on Papoulis' formula? (3) e) Comment on the result with respect to the expected value (i.e. (a) vs (c)) and the standard deviation (relative to the tolerance of the components). (4)

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