plotting of mean function of exponential random variables

I faced difficulties in implemntation the mean value

I want to get value less than or equal 1 in y-axis because its represents the probability while at the same time I need the mean to be 175 in x-axis

when I use hist command I got the correct y-axis values while x-axis is wrong

but when I use histogram command instead of hist I got the mean which is in x-axis correct while y-axis values exceed the 1.

so what command should I use ?

x=exprnd(175,50,500)
figure (1)
histogram(x)
figure (2)
x_bar=mean(x)
pdfx_bar= hist(x_bar,100)/500
stairs(pdfx_bar)

Answer 1

[Tommy]

The plot created by histogram has count on the y axis by default. If you would like the y axis to instead give probability, you can specify the 'Normalization' property to 'probability' for bar heights adding to 1:

x=exprnd(175,50,500);
histogram(x, 'normalization', 'probability')

or to 'pdf' for bar areas adding to 1:

x=exprnd(175,50,500);
histogram(x, 'normalization', 'pdf')

[Mahabba Almheiri]

Thank you so much that help me to solve the problem