how to calculate the poisson distribution in matlab

To calculate the Poisson distribution in MATLAB, you can use the built-in function "poisspdf". This function takes two arguments: the value of the random variable for which you want to evaluate the Poisson probability density function, and the parameter λ that specifies the average number of events occurring in a fixed interval of time or space.

Here is an example code snippet that calculates the Poisson distribution for some values of λ and x:

main.m
% Define lambda and x values
lambda = [1, 5, 10];
x = 0:20;

% Calculate Poisson probability density function for each lambda and x
pdf1 = poisspdf(x, lambda(1));
pdf2 = poisspdf(x, lambda(2));
pdf3 = poisspdf(x, lambda(3));

% Plot the results
plot(x, pdf1, 'o-', x, pdf2, 's-', x, pdf3, '^-');
xlabel('x');
ylabel('P(X=x)');
legend('\lambda=1', '\lambda=5', '\lambda=10');
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This script generates a plot of the Poisson probability density function for three different values of λ, ranging from 1 to 10. The resulting plot shows how the probability distribution shifts to the right and becomes more spread out as λ increases.