definition of a continuous distribution in chap 1

[HVoltBb]

So far I like this book. It is very well written.

I don't want to sound pedantic here, but I don't like the description of the continuous distribution in chap 1. "Z is continuous: Continuous random variable can take on arbitrarily exact values. "

This description sounds like discrete values are not exact, e.g., one apple and two apples. Both discrete and continuous values can be exact. I would say "continuous random variable can take on an uncountable set of values", which is more precise.

I know most of the people who read this book are not for the math. Sorry for the rant.