Two resistors, with resistances R1 and R2, are connected in series. R1 is normally distributed with mean 100Ω and standard deviation 4Ω, and R2 is normally distributed with mean 120Ω and standard deviation 10Ω. What is the probability that R2 exceeds R1 by more than 30 Ω?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Two resistors, with resistances R1 and R2, are connected in series. R1 is normally distributed with mean 100Ω and standard deviation 4Ω, and R2 is normally distributed with mean 120Ω and standard deviation 10Ω.

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

 

 
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