how to calculate the probability of a cauchy distribution in matlab

To calculate the probability of a Cauchy distribution in MATLAB, you can use the cauchypdf function, which calculates the density function of the distribution. The syntax for the function is:

main.m
y = cauchypdf(x, a, b)
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where x is the input values to evaluate the density function on, a is the location parameter, and b is the scale parameter.

Here is an example of how to calculate the probability density function for a Cauchy distribution with a=0 and b=1:

main.m
x = linspace(-10,10,1000);
a = 0;
b = 1;
y = cauchypdf(x, a, b);
plot(x, y)
xlabel('x')
ylabel('Probability Density Function')
title('Cauchy Distribution')
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This will create a plot of the Cauchy probability density function over the range [-10, 10].