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. Liars (15 points). Of the 100 peeple in a village, 50 always tell the truth, 30 always lie, and 20 always refuse to answer.

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. Liars (15 points). Of the 100 peeple in a village, 50 always tell the truth, 30 always lie, and 20 always refuse to answer. A sample of 30 peOple is drawn with replacement. Let N1 be the number of truthtellers in the sample and N2 be the number of liars (so the number who refuse to answer is 30 N1 N2. (a) Find the joint pmf of N1, N2. (b) Find the marginal pmf of N1. (0) Find the conditional pmf of N2 given N1 = 10

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