When J = 3, suppose that j (x) = exp( j + j x)/[1 +
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When J = 3, suppose that πj(x) = exp(αj + βjx)/[1 + exp(α1 + β1x) + exp(α2 + β2x)], j = 1, 2. Show that π3(x) is (a) decreasing in x if β1 > 0 and β > 0.
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