Need help initializing variable x and plotting probability density function

Hi, I am currently trying to plot the probability density function (PDF) below.

%Equation and initialized variables

mean = 1930000;

standardDeviation= 64000;

fx = (1/(standardDeviation * sqrt(2 * pi))) * exp(-((x - mean)^2 / (2 * standardDeviation ^ 2)));

In this code, you will notice x is a variable, and is unassigned prior to the code, which obviously presents an error. X is supposed to be a random variable, and the plot of the above function should yield a normally distributed bell curve. I was hoping someone knew how to call x as a randomly assigned variable, as well as plot the PDF to appear as a normal distribution. Thank you in advance!

[Torsten]

Theory, plotting, random number generation and much more:

https://de.mathworks.com/help/stats/normal-distribution.html

Answer 1

[Paul]

Hi Stirling,

To plot the curve

mean = 1930000;
standardDeviation= 64000;
% note theat ^2 is changed to .^2 for elementwise operation
fx = @(x) (1/(standardDeviation * sqrt(2 * pi))) * exp(-((x - mean).^2 / (2 * standardDeviation ^ 2)));
xmin = mean - 3*standardDeviation;
xmax = mean + 3*standardDeviation;

plot(xmin:xmax,fx(xmin:xmax))

Samples of x can be obtained as

xval = normrnd(mean,standardDeviation,1,5)

xval = 1×5

1.0e+06 * 2.0381 2.0147 1.9156 1.8856 1.9168

[Stirling Ellis]

Thank you so much! This was so helpful!