Continuous uniform distribution

Okay kiddo, have you ever played a game where you roll a dice? Let's say it's a regular dice with six sides numbered from 1 to 6. When you roll the dice, you have an equal chance of getting any of the numbers from 1 to 6. This is what we call a uniform distribution.

Now, let's imagine that instead of a dice with just six numbers, we have a very special dice that can roll any number between 0 and 10. But, just like the regular dice, each number between 0 and 10 has an equal chance of showing up when we roll this special dice. This kind of situation is called continuous uniform distribution.

Another way to think about it is like picking a number from a hat that has all the numbers from 0 to 10 written on small pieces of paper. Each piece of paper has an equal chance of getting picked. This is basically what happens in continuous uniform distribution.

So, to sum it up, continuous uniform distribution is a type of probability distribution where every value within a certain range has an equal chance of happening. It's like rolling a very special dice or choosing a number from a hat containing all possible values with equal probability.