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Math · Statistics And Probability
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1. The hypergeometric distribution for a 2 x 2 table (see Table 6.2) can be found by starting from two independent binomial distributions and applying the following steps: (a) Write out the PMFs for W1 and W2 with binomial distributions involving ni and n2 trials, respectively, and a common probability of success T. Note that n 1 and n2 are known constants. (b) Find the joint PMF for W1 and W2 by multiplying the two PMFs from (a). (c) Discuss why the PMF for W W1 W 2 is binomial with n1 n2 trials and probability of success T. (d) Calculate the conditional PMF for W1 given W+ as P(Wi wt) for w1 0, w subject to wis n1 and POWI w1, W. w+ wi S m2. Relate the PMF ound to a hypergeometric distribution
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