find the probability of normrnd in matlab

The normrnd function in MATLAB generates random numbers from a normal distribution with specified mean and standard deviation.

To find the probability of normrnd in MATLAB, you need to use the probability density function (pdf) of the normal distribution. The pdf function allows you to calculate the probability density for a given value of x, mean (mu), and standard deviation (sigma).

Here's an example code that demonstrates how to use the pdf function to find the probability density value for a given x, mu, and sigma:

main.m
% Generate a random sample from a normal distribution
x = normrnd(0, 1, 1000, 1);

% Calculate the mean and standard deviation of the sample
mu = mean(x);
sigma = std(x);

% Calculate the probability density at x=0
pdf_value = normpdf(0, mu, sigma);
disp(pdf_value);
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In this code, we generated a random sample of 1000 observations from a normal distribution with mean 0 and standard deviation 1 using normrnd. Then we calculated the mean and standard deviation of the sample using mean and std functions. Finally, we used the normpdf function to calculate the probability density value at x=0 for the given mean and standard deviation.

Note that probability density is not the same as probability. To find the probability of a certain range of values, you need to integrate the probability density over that range.