MATLAB: How to plot pdf and cdf on the histograms

Question

Hello,

I have 2 histograms with 5000 and 50 random samples. (Mu=5 and sd=7) I want to add their pdf and cdf curve on my histograms.

Can you help me, please?

xNormal = random('Normal',5,7,1,5000);
h = histogram(xNormal,'Normalization','pdf')
hold on
yNormal = random('Normal',5,7,1,50);
hold on
h = histogram(yNormal,'Normalization','pdf');
hold on
xlabel('Class Intervals');
ylabel('Frequency');

Answer 1

You are already plotting the pdf of these distributions. Do you want to draw cdf on the same graph? If so, just pass the option 'Normalization','pdf' to the histogram function. For example,

xNormal = random('Normal',5,7,1,5000);
yNormal = random('Normal',5,7,1,50);
estimated_dist_x = fitdist(xNormal', 'Normal');
xRange = linspace(min(xNormal), max(xNormal));
xPdf = pdf(estimated_dist_x, xRange);
xCdf = cdf(estimated_dist_x, xRange);
estimated_dist_y = fitdist(xNormal', 'Normal');
yRange = linspace(min(yNormal), max(yNormal));
yPdf = pdf(estimated_dist_y, yRange);
yCdf = cdf(estimated_dist_y, yRange);
fig1 = figure();
hold on;
xlabel('Class Intervals');
histogram(xNormal,'Normalization','pdf');
plot(xRange, xPdf, 'LineWidth', 2);
ylabel('pdf');
yyaxis right
plot(xRange, xCdf, 'LineWidth', 2);
ylabel('cdf');
fig2 = figure();
hold on;
xlabel('Class Intervals');
histogram(yNormal,'Normalization','pdf');
plot(yRange, yPdf, 'LineWidth', 2);
ylabel('pdf');
yyaxis right
plot(yRange, yCdf, 'LineWidth', 2);
ylabel('cdf');