Limit of a distribution

Imagine you have a bunch of toys, and you want to put them in a box. However, the box can only hold a certain amount of toys. Let's say it can only hold 10 toys. So what happens when you try to put more than 10 toys in the box?

Well, you might have to take some toys out of the box so that you don't exceed the limit. The limit here is 10 toys, and anything beyond that is not possible.

Now let's apply this idea to a distribution. A distribution is a bunch of numbers that are spread out over a range. Just like with the toys, there might be a limit to how much this distribution can handle. This is where the concept of the limit of a distribution comes in.

The limit of a distribution is the maximum or minimum value that the distribution can reach. It's like the limit on the number of toys you can fit in a box.

For example, let's say we have a distribution of test scores for a class of students. The highest score anyone got was a 97. That means that the limit of our distribution is 97 – no one can get a score higher than that.

Likewise, let's say we have a distribution of temperatures for a city. The lowest temperature ever recorded was -20 degrees Celsius. That means that the limit of our distribution is -20 – the temperature can't go lower than that.

So, in summary, the limit of a distribution is the highest or lowest value that this distribution can achieve. It's like the limit on how many toys you can fit in a box – anything beyond that is not possible.