Three resistors are to be connected in series so that their resistances add together for the total resistance. One is a 150-ohm resistor and the other two are 100-ohm resistors. The respective specification limits are 150 ± 7.5 and 100 ± 6. If the resistances of the three resistors are normally distributed and the tolerance for the resistance of each resistor is equal to 6 ¥ the respective standard deviation, a. What are the two values within which the total resistance will lie 99.73% of the time? b. How many standard deviations from the nominal value will the limits of the additive tolerance for the total resistance lie?
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