At 02:11 PM 2/11/2015, Michael Richardson wrote:
Let me propose one quantitative way in which a larger pool is good: it
reduces the odds of hitting the no-more-than-2 rule, and it also may reduce
the number of 2-from-one-company that occurs. This is something we could
check: compare size of pool each year to how often there was two people from
one entity, or when a person had to be turned away as the third.
*sigh* No.
The only factor as to whether you hit the no-more-than-2 rule is the proportion
of volunteers you have in the volunteer pool, not the size of the volunteer
pool.
From the binomial distribution, if a company has 30% of the volunteer pool, it
has a 2.8% chance of having no members, a 12.1% chance of having 1 member and a
85.1% chance of having 2. (That last number is the sum of the percentages from
2-10 members).
So a big pool does not improve the distribution.
Later, Mike