Roadmap Topics Exercises

#TITLETOPICDIFFICULTYSTATUS

Variance of a Random Point on the Unit Circle — MeetProba

Exercises/Joint Distributions & Random Vectors

Variance of a Random Point on the Unit Circle

Variance of a Random Point on the Unit Circle

Easy

Exercise 1 / 1

Answer

A point is chosen uniformly at random on the unit circle. Let $X$ be its x-coordinate (abscissa). Compute $\text{Var}(X)$ .