 # Norm (not standard normal) random variable?

How to generate using Gauss command for a normal distribution with any mean and variance?

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To compute random numbers which are normally distributed with a mean `mu` and variance `sigma`, you multiply the result of `rndn` by the square root of `sigma` and adding `mu` like this:

``````// Mean of random numbers
mu = 8.2;

// Variance of random numbers
sigma2 = 5.4;

// Number of observations to create
nobs = 1e6;

// Create random numbers N(mu, sigma2)
X = rndn(nobs, 1) * sqrt(sigma2) + mu;

print meanc(X);
print varCovXs(X);``````

The above code should create random normal numbers with a mean near 8.2 and a variance near 5.4. If you want to be able to make some reusable code, you could create a procedure like this:

``````x = rndn2(100, 1, 0.5, 1.4);

proc (1) = rndn2(nobs, c, mu, sigma2);
retp(rndn(nobs, c) * sqrt(sigma2) + mu);
endp;`````` aptech
1,653
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Thanks. Where does the “mu “ enter into this command in your first code? I cannot see anything after “sig”. ### Have a Specific Question?

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