A student measures a quantity many times and calculates his mean as µ = 23 and his standard deviation as σ = 1. (a) What fraction of his readings would you expect to find between: (i) 22 and 24? (ii) 22.5 and 23.5? (iii) 20 and 25? (iv) 24 and 25? (b) What is the probability that some of his measurements will be less than 20.6?

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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A student measures a quantity many times and calculates his mean as µ = 23 and his standard
deviation as σ = 1.
(a) What fraction of his readings would you expect to find between:
(i) 22 and 24?
(ii) 22.5 and 23.5?
(iii) 20 and 25?
(iv) 24 and 25?
(b) What is the probability that some of his measurements will be less than 20.6?
Transcribed Image Text:A student measures a quantity many times and calculates his mean as µ = 23 and his standard deviation as σ = 1. (a) What fraction of his readings would you expect to find between: (i) 22 and 24? (ii) 22.5 and 23.5? (iii) 20 and 25? (iv) 24 and 25? (b) What is the probability that some of his measurements will be less than 20.6?
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