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1Chapter 4 - Hypergeometric distribution What is the definition of the hypergeometric distribution?Suppose n objects are drawn from M-type 1 objects and N-M-type 2 objects (therefore N in total).
Let X be the number of type 1 objects among the n selected, then:
px(x) = Pr(X=x) = [(MCx)*{(N-M)C(n-x)}]/(NCn)
2Chapter 4 - Application to capture-recapture What is the simple way of estimating N, if N was an estimate of the number of fish in a pond, c was the fish captured, tagged, returned, r was the size of the second recaptured fish and t was the number of fish tagged from the second sample?N = (cr)/t
3Chapter 4 - MLE for capture-recapture State the formula for the mle in the case of capture-recapture if T=t is the event of obtaining t tagged fish, r-t untagged fish in the second sample of size r?Pr(T=t) = [(cCt)*{(N-c)C(r-t)}]/(NCn)
4Chapter 4 - Expected Value and Variance of hypergeometric distribution What is E(X) for this distribution? What is Var(X) for this distribution? State the proof for E(X) and Var(X)E(X) = np
Var(X) = np(1-p)*[(N-n)C(N-1)]
Proof is on a separate sheet