Tuesday, 13 August 2013

Hypergeometric probability

Hypergeometric probability

I know how to calculate if they would ask on probability of choosing
exactly 12 americans but I'm not sure what to do when there are "more
than" or "between x1 and x2". I would appreciate help as my exam is in
less than 3 days :) Thanks
At a cruise on one of the smaller ships there are 300 American passengers
and 500 non-Americans. Every night they draw lots to decide which 24
passengers get a seat at the Captain's Table. Once you have been drawn you
cannot be drawn again later.
1.) What is the probability that more than 12 American passengers will be
seated at the Captain's Table on the first night?
2.) If exactly 15 American passengers were seated at the Captain's Table
the first night, what is the probability that there will be between 10 and
15 American passengers at the Captain's Table the next night?

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