Answer to Question #326925 in MatLAB for Cee

Question #326925

The Gaussian distribution also known as the Normal distribution, is given by the following


equation:


𝑦(π‘₯) = 𝑒π‘₯𝑝 βˆ’(π‘₯βˆ’πœ‡)^2/2𝜎2


where parameter 𝝁 is the mean and 𝝈 the standard deviation.


(i) Write a MATLAB code to create a 1000 point Gaussian distribution of random numbers


having πœ‡ = 0 and 𝜎 = 1. (20)


(ii) Plot this distribution. (10)


(iii) Prove that the full width–half maximum (FWHM), of the above distribution is given by :


FWHM = 2𝜎√2ln 2 (10)


(iv) Write a program that estimates the FWHM from your data/graph. (10)

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