how to calculate the z distribution in matlab

To calculate the z distribution in MATLAB, first, you need to create a normal distribution object using the normpdf function. Then, you can calculate the z-score by subtracting the mean of the distribution from the observed value and dividing by the standard deviation. Finally, you can use the normcdf function to calculate the cumulative probability of the z-score.

Here's an example code snippet:

main.m
% Create a normal distribution with mean 0 and standard deviation 1
mu = 0;
sigma = 1;
normDist = makedist('Normal', mu, sigma);

% Calculate the z-score for an observed value of 1.5
x = 1.5;
z = (x - mu) / sigma;

% Calculate the cumulative probability of the z-score
p = normcdf(z);
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In this example, mu is the mean of the distribution, sigma is the standard deviation, x is the observed value, z is the z-score, and p is the cumulative probability of the z-score.