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(a) A box contains 500 capacitors which have a nominal value of 360 pF and a standard deviation that is 5% of the nominal value. A set of 81 capacitors are taken from the box (without replacement) and measured using a multimeter. The average of the measurements is then calculated. What is the mean and standard deviation of the average obtained in (a)? (b) What is the probability that the average obtained in (a) does NOT deviate (up or down) from the nominal value by more than 4.2 pF?

(a) A box contains 500 capacitors which have a nominal value of 360 pF and a standard deviation that is 5% of the nominal value. A set of 81 capacitors are taken from the box (without replacement) and measured using a multimeter. The average of the measurements is then calculated. What is the mean and standard deviation of the average obtained in (a)? (b) What is the probability that the average obtained in (a) does NOT deviate (up or down) from the nominal value by more than 4.2 pF?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(a) A box contains 500 capacitors which have a nominal value of 360 pF and a standard deviation that is 5% of the nominal value. A set of 81 capacitors are taken from the box (without replacement) and measured using a multimeter. The average of the measurements is then calculated. What is the mean and standard deviation of the average obtained in (a)? (b) What is the probability that the average obtained in (a) does NOT deviate (up or down) from the nominal value by more than 4.2 pF?
Transcribed Image Text:(a) A box contains 500 capacitors which have a nominal value of 360 pF and a standard deviation that is 5% of the nominal value. A set of 81 capacitors are taken from the box (without replacement) and measured using a multimeter. The average of the measurements is then calculated. What is the mean and standard deviation of the average obtained in (a)? (b) What is the probability that the average obtained in (a) does NOT deviate (up or down) from the nominal value by more than 4.2 pF?
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