No. Or do you have a typo?

For example, random(-5, 10.2) returns values starting at -5 and up to (but not including) 10.2. To convert a floating-point random number to an integer, use the int() function.

It returns float, so

smallest = 1.0 , biggest = 9.9999 or so.

I think int ( random (1, 10) ) would give you 1 to 9


complete program:

1. int i = 0;
2. while (i < 800) {
3.   println ( int ( random (1, 10) ) );
4.   i++;
5. }
6. println ("done.");

see
http://www.processing.org/reference/random_.html