Generate a group of random number

hello

I want to generate 20000 random numbers in the range of (0,1) and it conforms to a normal distribution with a standard deviation of 0.5 and a variance of 1.

please help me

[Dyuman Joshi]

"with a standard deviation of 0.5 and a variance of 1."

Yeah, that's not possible.

Is one of the properties supposed to be mean/average?

Answer 1

[Image Analyst]

Try this and see if it works for your purposes.

r = 0.5 * randn(20000, 1);
histogram(r);
grid on;

theMean = mean(r)

theMean = -0.0011

stDev = std(r)

stDev = 0.5051

x = r - 0.5; % Mean center the data
% Do a KS test for normal distribution.
h = kstest(x)

h = logical
   1

% Do a lillie test for normality.
h = lillietest(x)

h = 0

Answer 2

[Torsten]

Maybe you mean a Truncated Normal Distribution:

https://uk.mathworks.com/help/stats/prob.normaldistribution.truncate.html