All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Probability
Announced rank average (Posted on 2022-02-16) Difficulty: 3 of 5
In some televised sports, such as downhill skiing, individual competitors take turns for the best time on a course. After each competitor the announcers will give the current standing. So for example, the first person will always be announced as ranked 1 (though this will likely change), the second person will be announced as either 1 or 2, and so on.

For an event with n competitors there will then be a sequence of announced ranks. What is the expected average of these ranks?

In long track speed skating, 2n competitors go on the same track but in pairs. So the first pair will get announced ranks of 1 and 2, the next pair will have two ranks from {1,2,3,4}, and so on.

For an event with n pairs, what's the expected average of the ranks?

No Solution Yet Submitted by Jer    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): solutionCharlie2022-02-16 23:18:27
Questionre: solutiontomarken2022-02-16 19:13:16
SolutionsolutionCharlie2022-02-16 11:20:12
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (14)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2022 by Animus Pactum Consulting. All rights reserved. Privacy Information