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Q4. a) A large batch of capacitors is manufactured and a sample of 10 is selected and measured using an accurate impedance analyser, giving values of C (in pF): 494, 501, 500, 497, 493, 492, 503, 499, 507, 498. (i) Based on this sample, estimate the mean and standard deviation of the population of values using the range method. (ii) Assuming that the values of C are normally distributed, sketch graphs showing the probability distribution function and cumulative distribution function of the population, with the axes and typical values on the axes labelled. (Note: graph paper is not required - neat sketches are adequate). (iii) If 10,000 is manufactured and the capacitor with 495 pF

Q4. a) A large batch of capacitors is manufactured and a sample of 10 is selected and measured using an accurate impedance analyser, giving values of C (in pF): 494, 501, 500, 497, 493, 492, 503, 499, 507, 498. (i) Based on this sample, estimate the mean and standard deviation of the population of values using the range method. (ii) Assuming that the values of C are normally distributed, sketch graphs showing the probability distribution function and cumulative distribution function of the population, with the axes and typical values on the axes labelled. (Note: graph paper is not required - neat sketches are adequate). (iii) If 10,000 is manufactured and the capacitor with 495 pF

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Can you please help me with parts 1,2 and 3 of this question.

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Q4. a) A large batch of capacitors is manufactured and a sample of 10 is selected and measured using an accurate impedance analyser, giving values of C (in pF): 494, 501, 500, 497, 493, 492, 503, 499, 507, 498. (i) Based on this sample, estimate the mean and standard deviation of the population of values using the range method. (ii) Assuming that the values of C are normally distributed, sketch graphs showing the probability distribution function and cumulative distribution function of the population, with the axes and typical values on the axes labelled. (Note: graph paper is not required - neat sketches are adequate). :505pF (iii) If 10,000 is manufactured and the capacitor with 495 pF < C < will be accepted, how many capacitors within these 10,000 capacitors will be accepted?
Transcribed Image Text:Q4. a) A large batch of capacitors is manufactured and a sample of 10 is selected and measured using an accurate impedance analyser, giving values of C (in pF): 494, 501, 500, 497, 493, 492, 503, 499, 507, 498. (i) Based on this sample, estimate the mean and standard deviation of the population of values using the range method. (ii) Assuming that the values of C are normally distributed, sketch graphs showing the probability distribution function and cumulative distribution function of the population, with the axes and typical values on the axes labelled. (Note: graph paper is not required - neat sketches are adequate). :505pF (iii) If 10,000 is manufactured and the capacitor with 495 pF < C < will be accepted, how many capacitors within these 10,000 capacitors will be accepted?
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