ELI5: Explain Like I'm 5

Arcsine distribution

Okay kiddo, have you ever heard of a circle? It's like a big, round shape. Now imagine you have a point on that circle and you want to measure the angle between that point and a line that goes through the center of the circle. The measurement you get is called an angle.

The arc sine distribution helps us find out how likely it is that the angle we measure will be a certain size.

Let's pretend we have a group of toys and we want to see how likely it is for them to fall at a certain angle when we drop them. We can use the arc sine distribution to figure this out.

We can think of the possible angles the toys can fall at as a scale from 0 to 90 degrees. The arc sine distribution tells us how likely it is that a toy will fall at a certain angle on that scale.

So, imagine we drop 100 toys and measure the angles they fall at. Based on the arc sine distribution, we can estimate how many toys will fall at certain angles. For example, we might expect more toys to fall at 45 degrees than at 30 degrees.

Overall, the arc sine distribution helps us make predictions about angles that we might measure in real life situations, like dropping toys or measuring angles on a circle.