(b) The capacitance of a batch of capacitors is distributed normally with mean of 22 mF and standard deviation of 1 mF. (i) (ii) What percentage of capacitors can we expect to have a capacitance outside of the limits 22 ± 0.5 mF? The manufacturers stated tolerance of the capacitors is 22 mF ± 10%. In a batch of 1000 capacitors how many would we expect to be inside of the stated tolerance?

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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please answer the question below 

(b) The capacitance of a batch of capacitors is distributed normally with mean of 22 mF
and standard deviation of 1 mF.
(i)
(ii)
What percentage of capacitors can we expect to have a capacitance
outside of the limits 22 ± 0.5 mF?
The manufacturers stated tolerance of the capacitors is 22 mF ± 10%.
In a batch of 1000 capacitors how many would we expect to be inside
of the stated tolerance?
Transcribed Image Text:(b) The capacitance of a batch of capacitors is distributed normally with mean of 22 mF and standard deviation of 1 mF. (i) (ii) What percentage of capacitors can we expect to have a capacitance outside of the limits 22 ± 0.5 mF? The manufacturers stated tolerance of the capacitors is 22 mF ± 10%. In a batch of 1000 capacitors how many would we expect to be inside of the stated tolerance?
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