Can a set of random numbers contain floating point numbers?

Question

When we are considering a set of random numbers between 1 and 100 or any other number(s) then is it necessary that the numbers should always be an Integer. Can the number be a floating point number like 4.35678 ?

Answer 1

It depends on what you are asked, you are free to build any distribution in any set you want. You can have $x\sim[1,100]\cap\mathbb{N}$ or $x\sim[1,100]\cap\mathbb{Q}$. The last case can include any rational (floating point) numbers you want.

Answer 2

It depends on the distribution. As long as it is a probability space (which is a set where each subset has been assigned a probability along with certain axioms which assert that this behaves like how you would expect probability to behave), it is a valid random distribution. You can even restrict your set to only return numbers of a certain type, like ones which only have certain digits.