The bell-shaped Gaussian probability density function, f(x)=12exp[12(x)2]f(x)=12

Question

The bell-shaped Gaussian probability density function,

f(x)=12exp[12(x)2]f(x)=12exp[12(x)2]

is one of the most widely used functions in science and technology. The parameters of the function ([,+][,+], >0>0) are prescribed real numbers. Write a MATLAB script for evaluating this function when =0=0, =2=2, x=1x=1.

1. The bell-shaped Gaussian probability density function f(x) = no is one of the most widely used functions in science and technology. The parameters of the function ( E [-00, +00], > 0) are prescribed real numbers, write a MATLAB script for evaluating this function when = 0, = 2, x = 1 Verify your answer by getting the same result from Wolfram Alpha mathematical search engine, also by using MATLAB's builtin function normpdf(x,u,o)

Explanation / Answer

code:-

m = 0;
sig = 2;
x = 2;
%calculate gaussian probability density function
f = 1/(sig*sqrt(2*pi)) .* exp(-((x-m)^2 / (2*(sig)^2)));
disp(f)
n = normpdf(x,m,sig); %normpdf(x,m,sig)
%cross check output using matlab command
disp(n)

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