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Announced vs Final rank average (Posted on 2022-02-23) 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.

By the end of the competition everyone's final rank will be the same or higher.

a) In an event with n competitors, what is the expected difference between the first announced and final rank of competitor that goes xth?

b) What is the expected average difference for all n competitors?

Note: the order of the competitors is random.

No Solution Yet Submitted by Jer    
Rating: 5.0000 (1 votes)

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  Subject Author Date
SolutionSolutiontomarken2022-02-23 10:31:21
SolutionsolutionCharlie2022-02-23 10:14:42
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