Re: Baseball

On Apr 10, 3:34 pm, Dave Seaman <dsea...@xxxxxxxxxxxx> wrote:
On 10 Apr 2007 13:24:10 -0700, mensana...@xxxxxxxxxxx wrote:





On Apr 10, 3:05 pm, beewo...@xxxxxxxxxxx wrote:
On Apr 10, 3:53 pm, "mensana...@xxxxxxxxxxx" <mensana...@xxxxxxx>
wrote:

On Apr 10, 2:45 pm, "john0...@xxxxxxx" <john0...@xxxxxxx> wrote:

To keep it simple, before 1960 the National and American Basball
Leagues used to have 8 teams each. Each team would play every other
team in its league 22 times for a total of 154 games. Usually the
first place team would lose about a third of its games and the last
place team would win about a third of its games.

Suppose you had eight people "play" an identical schedule of card
cutting or something where it is all luck and no skill. Aproxomately
how would you expect "teams" one thru eight to finish in wins and
losses, say averaged out over 100 "seasons?"

They would all be tied.

My guess is that the OP meant to ask in the 100 seasons, what was the
average number of games won by the best team each season. Likewise,
what was the average number of games won by the worst team each
season. Certainly this question is much more interesting than the one
you answered.
Then he should have asked it. Instead, he asked what I would "expect",
not what would have actually happened.

I think you will find that the teams 1 through 8 will not average 77 wins
each. Teams 1-4 will average more than that, and teams 5-8 will average
fewer.

You may think I'll find that, but that's not what I find:

team: 0 Average wins: 76
team: 1 Average wins: 77
team: 2 Average wins: 77
team: 3 Average wins: 77
team: 4 Average wins: 77
team: 5 Average wins: 76
team: 6 Average wins: 76
team: 7 Average wins: 76


He is essentially asking for order statistics.

--
Dave Seaman
Oral Arguments in Mumia Abu-Jamal Case to be heard May 17
U.S. Court of Appeals, Third Circuit
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