A factory produces 1000-ohm (R) resistors that have 15 percent tolerance. Let X denotes the resistance of a resistor. Assuming that X is a Gaussian random variable with mean 1000 and variance 2000. a) Find the probability that a resistor picked at random will be rejected. b) Below what value do we get the smallest-resistance 25% of the resistors?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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QUESTION:
A factory produces 1000-ohm (R) resistors that have 15 percent tolerance. Let X
denotes the resistance of a resistor. Assuming that X is a Gaussian random
variable with mean 1000 and variance 2000.
a) Find the probability that a resistor picked at random will be rejected.
b) Below what value do we get the smallest-resistance 25% of the resistors?
Transcribed Image Text:QUESTION: A factory produces 1000-ohm (R) resistors that have 15 percent tolerance. Let X denotes the resistance of a resistor. Assuming that X is a Gaussian random variable with mean 1000 and variance 2000. a) Find the probability that a resistor picked at random will be rejected. b) Below what value do we get the smallest-resistance 25% of the resistors?
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