A student of EE department wants to measure the voltage drop on a resistor. However, due to bad contacts, any measurément will not yield the exact value of that voltage. The student has decided to make a series of measurements and then use their average value as an estimate of the actual voltage drop. The student believes that the successive measurements are independent random variables, where a standard deviation is 0.2 [V]. What minimum number of measurements are needed to be at least 95 percent certain that the result is accurate to within ±0.1 [V]?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A student of EE department wants to measure the voltage drop on a resistor. However, due to bad
contacts, any measurement will not yield the exact value of that voltage. The student has decided to make
a series of measurements and then use their average value as an estimate of the actual voltage drop. The
student believes that the successive measurements are independent random variables, where a standard
deviation is 0.2 [V]. What minimum number of measurements are needed to be at least 95 percent certain
that the result is accurate to within ±0.1 [V]?
Transcribed Image Text:A student of EE department wants to measure the voltage drop on a resistor. However, due to bad contacts, any measurement will not yield the exact value of that voltage. The student has decided to make a series of measurements and then use their average value as an estimate of the actual voltage drop. The student believes that the successive measurements are independent random variables, where a standard deviation is 0.2 [V]. What minimum number of measurements are needed to be at least 95 percent certain that the result is accurate to within ±0.1 [V]?
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