All electrical components, especially off-the-shelf components do not match their nominal value. Variations in materials and manufacturing as well as operating conditions can affect their value. Suppose a circuit is designed such that it requires a specific component value, how confident can we be that the variation in the component value will result in acceptable circuit behavior? To solve this problem a probability density function is needed to be integrated to determine the confidence interval. For an oscillator to have its frequency within 5% of the target of 1 kHz, the likelihood of this happening, (1 - a), can then be determined by finding the total area under the normal distribution for the range in question: (1 - α) = 2.9 1 e-0.5x²dx -2.15√2π Using Simpson's 1/3 Rule with a number of segment n = 6, determine the approximate value of the integration. Express your answer up to five (5) decimal places. Present your solution in your answer sheets.

All electrical components, especially off-the-shelf components do not match their nominal value. Variations in materials and manufacturing as well as operating conditions can affect their value. Suppose a circuit is designed such that it requires a specific component value, how confident can we be that the variation in the component value will result in acceptable circuit behavior? To solve this problem a probability density function is needed to be integrated to determine the confidence interval. For an oscillator to have its frequency within 5% of the target of 1 kHz, the likelihood of this happening, (1 - a), can then be determined by finding the total area under the normal distribution for the range in question: (1 - α) = 2.9 1 e-0.5x²dx -2.15√2π Using Simpson's 1/3 Rule with a number of segment n = 6, determine the approximate value of the integration. Express your answer up to five (5) decimal places. Present your solution in your answer sheets.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

See similar textbooks