Two resistors, with resistances R 1 and R 2 , are connected in series. R 1 is

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Two resistors, with resistances R1 and R2, are connected in series. R1 is normally distributed with mean 100 Ω and standard deviation 5 Ω, and R2 is normally distributed with mean 120 Ω and standard deviation 10 Ω.

a. What is the probability that R2 > R1?

b. What is the probability that R2 exceeds R1 by more than 30 Ω?

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