One resistor is 100 K ohms is needed to complete a prototype of electrical circuit. A student of Electrical Circuits Lab has only two resistors available to complete that prototype, where the probability that both available resistors are 100 Kohms each is 0.1 and the probability that only one of them is 100 K ohms resistor is 0.5. If the number of resistors that are 100 Kohms is a random variable, find the standard deviation of that random variable.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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One resistor is 100 K ohms is needed to complete a prototype of electrical circuit. A student of Electrical Circuits Lab has only two resistors available to complete that prototype, where the probability that both available resistors are 100 Kohms each is 0.1 and the probability that only one of them is 100 K ohms resistor is 0.5. If the number of resistors that are 100 Kohms is a random variable, find the standard deviation of that random variable.
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