kwam wrote:
rhyme wrote:
dosa_don wrote:
Avi-great stuff. Now you can buy me some beer
when did you submit btw?
Correlation(submission_date, interview_invite_date) = 0.0000000
Then:
Correlation(interview_invite_date,admission_result_is_positive)=X
Please solve for X
The longest day in my life, and I still have the FOMC to go...
Correlation(strength of app, interview_invite_date) = 0.95
Correlation(interview_invite_date,admission_result_is_positive)= 0.0
The hypergeometric distribution describes the probability that in a sample of n distinctive objects drawn from the application exactly k objects are denied. In general, if a random variable X follows the hypergeometric distribution with parameters N, m and n, then the probability of getting exactly k successes is given by
f(k;N,m,n) = {{{m \choose k} {{N-m} \choose {n-k}}}\over {N \choose n}}.
The probability is positive when k is between max(0, n+m−N) and min{m, n).
The formula can be understood as follows: There are \tbinom{N}{n} possible samples (without replacement). There are \tbinom{m}{k} ways to obtain k defective objects and there are \tbinom{N-m}{n-k} ways to fill out the rest of the sample with non-defective objects.
The fact that the sum of the probabilities, as k runs through the range of possible values, is equal to 1, is essentially Vandermonde's identity from combinatorics.
Duh.