Resistors with a value of 1500 ohms are produced in a factory. There are deviations in the values of these produced resistances and if this deviation is more than 15%, those resistors are not used. Suppose the values of the generated resistors are an X random variable with a Gaussian distribution. Since the average value of these resistors is 1500 ohms and the standard deviation is 100 ohms, what is the probability that a produced resistor will not be used?
Resistors with a value of 1500 ohms are produced in a factory. There are deviations in the values of these produced resistances and if this deviation is more than 15%, those resistors are not used. Suppose the values of the generated resistors are an X random variable with a Gaussian distribution. Since the average value of these resistors is 1500 ohms and the standard deviation is 100 ohms, what is the probability that a produced resistor will not be used?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Resistors with a value of 1500 ohms are produced in a factory. There are deviations in the values of these produced resistances and if this deviation is more than 15%, those resistors are not used. Suppose the values of the generated resistors are an X random variable with a Gaussian distribution. Since the average value of these resistors is 1500 ohms and the standard deviation is 100 ohms, what is the probability that a produced resistor will not be used?
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